Properties of the Number 82813

Eighty-Two Thousand Eight Hundred Thirteen

Basics

Value: 82812 → 82813 → 82814

Parity: odd

Prime: Yes

Previous Prime: 82811

Next Prime: 82837

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 82813

Divisors: 1, 82813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001101111101

Octal: 241575

Duodecimal: 3BB11

Hexadecimal: 1437d

Square: 6857992969

Square Root: 287.7724795737077

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Palindromic primes in base 3. A29971

Triangle read by rows: T(m,n) is the label of the largest square that an (m,n)-leaper (a generalization of a chess knight) reaches before it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A306197

Primes of the form 10n² + 3. A201710

Molien series for invariants of finite Coxeter group A₁₂. A266781

Prime numbers of form a^m + b^m + c^m + ..., where a·b*c* ... is the prime factorization of m. A82813

Numbers m such that the four consecutive primes starting at m are congruent to {2, 3, 5, 7} (mod 11). A354177