Properties of the Number 77856

Seventy-Seven Thousand Eight Hundred Fifty-Six

Basics

Value: 77855 → 77856 → 77857

Parity: even

Prime: No

Previous Prime: 77849

Next Prime: 77863

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 811

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011000000100000

Octal: 230040

Duodecimal: 39080

Hexadecimal: 13020

Square: 6061556736

Square Root: 279.0268804255246

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

The function W_n(6) (see Borwein et al. reference for definition). A169711

The number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2x2x2 where the walk starts at the center of one of the box's faces. A337033

Number of ternary words of length n avoiding the pattern 11-11. A241574

Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7. A252108

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h·2h·2h where the walk starts at the center of one of the box's faces. A337031

Expansion of (1-x)^-1/(1-2·x+x²+x³). A77856