Properties of the Number 77813

Seventy-Seven Thousand Eight Hundred Thirteen

Basics

Value: 77812 → 77813 → 77814

Parity: odd

Prime: Yes

Previous Prime: 77801

Next Prime: 77839

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 77813

Divisors: 1, 77813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111111110101

Octal: 227765

Duodecimal: 39045

Hexadecimal: 12ff5

Square: 6054862969

Square Root: 278.94981627525766

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

Smallest of four consecutive primes whose sum is a square. A206280

Primes p such that both (p² + 5)/6 and (p⁴ + 5)/6 are prime. A253925

Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1. A96660

Prime-indexed primes p such that 2·p + 1 is also a prime-indexed prime. A318294

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 24. A31612

Numbers having no divisors d>1 such that also d+1 is a divisor. A88725

Squarefree numbers containing in their decimal representation only the digits 0 and 1. A77813