Luhn Algorithm Calculator (Check Digit & Validator)
Check whether a card number or similar identifier passes the Luhn checksum, and find the correct check digit for any payload.
- Luhn-valid as entered?
- Yes
- Correct check digit for this payload
- 3
- Full number with correct check digit
- 79927398713
How it works
The Luhn algorithm (also called the "mod 10" algorithm) is the checksum formula behind credit and debit card numbers, IMEI numbers, and several other identifiers — it exists to catch accidental typos and transposed digits, not to verify an account is real. Starting from the rightmost digit and moving left, every second digit is doubled; if doubling produces a number above 9, its digits are summed (equivalently, 9 is subtracted, since any digit 0-9 doubled is at most 18). Adding up every digit — the doubled ones and the untouched ones — gives a total, and the check digit is whatever value 0-9 makes that total a multiple of 10.
This calculator treats whatever you type as a complete candidate number: it strips off the last digit as the "provided" check digit, recomputes what that digit should be from everything before it, and tells you whether they match. If you're instead building a new number from a known payload, type that payload followed by any placeholder last digit (0 works fine) — the "full number with correct check digit" field gives you a valid one.
FAQ
Does a Luhn-valid number mean the card is real or active?
No. The Luhn checksum only confirms the digits weren't mistyped or transposed — it says nothing about whether that account number was ever actually issued by a bank or carrier.
Why double every second digit instead of every digit?
Alternating which digits get doubled is what makes the checksum sensitive to the most common real-world data-entry mistakes — single mistyped digits and adjacent-digit transpositions (swapping two neighboring digits) — which is exactly the error pattern Luhn's original 1954 patent was designed to catch.
Related calculators
- Percentage Calculator
- Quadratic Equation Solver
- GCD & LCM Calculator
- Circle Area & Circumference Calculator
- Right Triangle Calculator (Pythagorean Theorem)
- Ratio Simplifier
- Exponent & Root Calculator
- Oblique Triangle Solver (Law of Cosines)
- Distance, Midpoint & Slope Calculator
- Permutations & Combinations Calculator (nPr, nCr)
- Arithmetic & Geometric Sequence Calculator
- Regular Polygon Calculator
- Z-Score & Percentile Calculator
- Cubic Equation Solver
- Prime Factorization Calculator
- System of Linear Equations Solver (2 Equations)
- Half-Life Decay Calculator
- Vector Calculator (Dot Product, Cross Product, Angle)
- Ohm's Law Calculator
- Projectile Motion Calculator
- Matrix Determinant & Inverse Calculator (2x2 / 3x3)
- 2x2 Matrix Eigenvalues Calculator
- Ideal Gas Law Calculator (PV = nRT)
- Snell's Law Calculator (Refraction Angle)
- Wire Resistance Calculator
- Clock Angle Calculator
- Pythagorean Means Calculator (AM, GM, HM)
- Number Base Converter (Decimal to Binary, Octal, Hex)
- Dice Probability Calculator
- Pythagorean Triple Generator
- Binomial Probability Calculator
- Torque Calculator
- Law of Sines Triangle Solver
- Modular Exponentiation Calculator
- Simple Pendulum Period Calculator
- Kinetic Energy Calculator
- Complex Number Calculator
- Circular Sector & Arc Length Calculator
- System of 3 Linear Equations Solver
- Reynolds Number Calculator
- Coulomb's Law Calculator
- Speed of Sound in Air Calculator
- Thin Lens Equation Calculator
- Centripetal Force Calculator
- Resistors in Series and Parallel Calculator
- RC Circuit Time Constant Calculator
- Escape Velocity Calculator
- Doppler Effect Calculator
- Birthday Paradox Calculator
- Ellipse Area, Circumference & Eccentricity Calculator
- Hyperbola Calculator
- Hooke's Law Spring Calculator
- Molarity (Molar Concentration) Calculator
- Momentum & Impulse Calculator
- Kepler's Third Law Orbital Period Calculator
- Triangle Area from Coordinates Calculator
- Beer-Lambert Law Absorbance Calculator
- LC Circuit Resonant Frequency Calculator
- Musical Note Frequency Calculator
- Dipole & Monopole Antenna Length Calculator
- Decibel (dB) Converter
- Elo Rating Calculator
- Beam Deflection Calculator
- Stellar Parallax Distance Calculator
- pH & pOH Calculator
- Poker Outs Odds Calculator (Texas Hold'em)
- Flywheel Kinetic Energy Calculator
- Voltage Divider Calculator (with Loading Effect)
- Wind Turbine Power Output Calculator
- Compound Gear Train Calculator
- Column Buckling Calculator (Euler's Critical Load)
- Henderson-Hasselbalch Buffer pH Calculator
- Capacitor Energy Storage Calculator
- CNC Speeds & Feeds Calculator
- Battery Runtime Calculator (Peukert's Law)
- Inductor Energy Storage Calculator
- Engine Compression Ratio Calculator
- Terminal Velocity Calculator
- Brewster's Angle Calculator (Polarizing Angle)
- Wheatstone Bridge Calculator
- Wien's Displacement Law Calculator
- Stefan–Boltzmann Law Calculator
- Young's Modulus (Elastic Modulus) Calculator
- Horizontal Cylindrical Tank Volume Calculator
- Solenoid Inductance Calculator
- Force Between Parallel Wires Calculator
- Pulley Belt Length & Speed Ratio Calculator
- 555 Timer Astable Frequency & Duty Cycle Calculator
- Buoyancy Calculator (Archimedes' Principle)
- Hydrostatic Pressure Calculator
- Tank Drain Time Calculator
- Op-Amp Slew Rate / Full-Power Bandwidth Calculator
- RL Circuit Time Constant Calculator
- Reverberation Time Calculator (Sabine Equation)
- Schwarzschild Radius Calculator
- Helmholtz Resonator Frequency Calculator
- Rayleigh Criterion (Diffraction Limit) Calculator
- Spring-Mass Oscillation Period Calculator
- Venturi Meter Flow Rate Calculator
- Darcy-Weisbach Pipe Friction Loss Calculator
- Critical Angle Calculator (Total Internal Reflection)
- Transformer Turns Ratio Calculator
- Area Moment of Inertia Calculator (Second Moment of Area)
- Numerical Aperture Calculator (Optical Fiber)
- Diffraction Grating Calculator
- Confidence Interval Calculator
- Arrhenius Equation Calculator
- Hagen-Poiseuille Flow Rate Calculator
- Shaft Torsion Calculator (Angle of Twist & Shear Stress)
- Series RLC Circuit Resonance Calculator
- Parallel RLC Circuit Resonance Calculator
- Projectile Motion on an Incline Calculator
- Parallel-Plate Capacitor Calculator
- Rocket Equation Calculator (Tsiolkovsky Delta-v)
- Photoelectric Effect Calculator
- Op-Amp Gain Calculator (Inverting & Non-Inverting)
- Stokes' Law Settling Velocity Calculator
- Bolt Preload Calculator (Torque to Clamp Force)
- Gravitational Force Calculator (Newton's Law of Gravitation)
- Banking Angle Calculator (Curve Superelevation)
- Springs in Series and Parallel Calculator
- Freezing Point Depression / Boiling Point Elevation Calculator
- Redshift to Velocity Calculator
- Lensmaker's Equation Calculator
- Combined Gas Law Calculator
- Angular Momentum Conservation Calculator
- LED Series Resistor Calculator
- Sample Size Calculator (Margin of Error)
- Lorentz Force Calculator (Magnetic Force on a Moving Charge)
- Drag Force Calculator (Aerodynamic / Fluid Drag)
- Exposure Value (EV) & Equivalent Exposure Calculator
- Hydraulic Press Calculator (Pascal's Law)
- Clausius-Clapeyron Equation Calculator
- Modular Inverse Calculator
- Specific Heat (Q = mcΔT) Calculator
- Bayes' Theorem Calculator (Diagnostic Test Accuracy)
- Euler's Totient Function Calculator
- Graham's Law of Effusion Calculator
- Wye-Delta (Y-Δ) Transformation Calculator
- Chinese Remainder Theorem Calculator
- Synodic Period Calculator
- Mach Number Calculator
- Cable Sag Calculator
- Linear Thermal Expansion Calculator
- Lever Mechanical Advantage Calculator
- Quartic Equation Solver
- Nernst Equation Calculator
- Linear Diophantine Equation Solver
- Free Fall Calculator (Time & Impact Velocity)
- Projectile Motion From a Height Calculator
- Paper Folding Limit Calculator (Gallivan's Equation)
- 555 Timer Monostable Pulse Width Calculator
- Poisson Distribution Probability Calculator
- Water Hammer Surge Pressure Calculator (Joukowsky Equation)
- Heatsink Thermal Resistance Calculator
- Percent Yield Calculator (Chemistry)
- Wind Turbine Tip Speed Ratio (TSR) Calculator
- Dew Point Calculator
- Torque to Horsepower Calculator
- Hypergeometric Distribution Calculator
- Negative Binomial Distribution Calculator
- Catalan Number Calculator
- Block and Tackle Mechanical Advantage Calculator
- Collatz Conjecture (3n + 1) Calculator
- ISBN-13 Check Digit Calculator
- Tower of Hanoi Calculator