Properties of the Number 78307

Seventy-Eight Thousand Three Hundred Seven

Basics

Value: 78306 → 78307 → 78308

Parity: odd

Prime: Yes

Previous Prime: 78301

Next Prime: 78311

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 78307

Divisors: 1, 78307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011000111100011

Octal: 230743

Duodecimal: 39397

Hexadecimal: 131e3

Square: 6131986249

Square Root: 279.83387929269753

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

Numerators of the probability that the first player wins the game Super Six if both players have n sticks in their hand and if there are 3 sticks on the lid, assuming optimal play. A349697

Primes p such that p and prime(p) end with the same three digits. A271045

Primes p for which p + 4, p² + 4 and p³ + 4 are primes. A243734

a(n) = 4·p(n-1)*p(n+1) - p(n)², where p(k) = k-th prime. A327447

a(n) = ∑_{d divides n} (-1)^n/d+1*d³. A78307

Denominators of the probability that the first player wins the game Super Six if both players have n sticks in their hand and if there are 3 sticks on the lid, assuming optimal play. A349698

E.g.f. A(x) satisfies: 1 = ∑_n>=0 (n+1)^2*(n-1) * xⁿ/n! / A(x)⁽ⁿ⁺¹²). A298697