Number Theory Calculators

39 free number theory tools for primes, divisors, GCD, modular arithmetic, special numbers, and integer sequences.

Browse number theory calculators by topic. This directory groups prime tools, divisor functions, modular arithmetic solvers, special number checkers, and integer sequence calculators so each problem has a clear starting point.

Featured Number Theory Tools Start here

Prime Number Checker Prime Factorization Calculator GCD & LCM Calculator Modular Inverse Calculator Chinese Remainder Theorem Calculator Euler Totient Calculator

Browse Number Theory Calculators by Topic

Prime Numbers and Factorization Divisors and Arithmetic Functions GCD and Modular Arithmetic Special Number Checkers Sequences and Integer Patterns

Prime Numbers and Factorization

8 tools

Check primality, factor integers, count primes, inspect prime gaps, and test special prime patterns.

Prime Number Checker Prime Factorization Calculator Semiprime Number Finder Mersenne Prime Checker Palindromic Prime Generator Twin Prime Checker Prime Gap Calculator Prime Counting Function Calculator

Divisors and Arithmetic Functions

8 tools

Work with divisors, divisor sums, Euler totient, Mobius values, radicals, square-free numbers, and abundance classification.

Proper Divisor Calculator Divisor Sum Function Calculator Euler Totient Calculator Mobius Function Calculator Radical of an Integer Calculator Square-Free Number Checker Deficient & Abundant Number Classifier Divisibility Rules Calculator

GCD and Modular Arithmetic

11 tools

Solve GCD, LCM, coprime checks, congruences, modular inverses, modular powers, CRT, and quadratic residue problems.

GCD & LCM Calculator Coprime Calculator Congruence Equation Solver Modular Inverse Calculator Chinese Remainder Theorem Calculator Modular Exponentiation Calculator Modular Square Root Calculator Legendre Symbol Calculator Jacobi Symbol Calculator Multiplicative Order Calculator Primitive Root Checker

Special Number Checkers

7 tools

Classify perfect, amicable, Carmichael, Smith, Harshad, Armstrong, happy, and perfect power numbers.

Perfect & Amicable Number Checker Carmichael Number Checker Smith Number Checker Harshad Number Calculator Perfect Digital Invariant Calculator Happy Number Checker Perfect Power Checker

Sequences and Integer Patterns

5 tools

Generate or analyze aliquot sequences, sociable cycles, lucky numbers, Pythagorean triples, and Beatty sequences.

Aliquot Sequence Calculator Sociable Numbers Calculator Lucky Number Sieve Calculator Pythagorean Triple Generator Beatty Sequence Calculator

What Can You Do With These Number Theory Tools?

These calculators help analyze integers through prime factorization, divisor sums, GCD and LCM, modular arithmetic, congruences, quadratic residues, arithmetic functions, number classifications, and sequence patterns. They are useful for math homework, contest practice, programming checks, and cryptography-related arithmetic.

Frequently Asked Questions

What number theory calculators are available here?▼

This page includes prime, factorization, divisor, GCD, LCM, modular arithmetic, congruence, arithmetic function, special number, and integer sequence calculators.

Which number theory tool should I start with?▼

For basic integer problems, start with prime checker, prime factorization, GCD and LCM, divisors, or Euler totient. For modular arithmetic, use modular inverse, congruence, CRT, or modular exponentiation tools.

Do these tools show number theory steps?▼

Many calculators show factorization, Euclidean algorithm steps, modular reductions, divisor sums, or classification reasoning so the result is easier to verify.

Are the number theory tools free?▼

Yes. The number theory calculators are free browser-based tools for students, programmers, teachers, and quick integer checks.

Algebra Geometry Trigonometry Matrices Functions Number Theory Base Converter Electronics Statistics Life & Finance Simulators

Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.

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