Properties of the Number 68256

Sixty-Eight Thousand Two Hundred Fifty-Six

Basics

Value: 68255 → 68256 → 68257

Parity: even

Prime: No

Previous Prime: 68239

Next Prime: 68261

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 79

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000101010100000

Octal: 205240

Duodecimal: 33600

Hexadecimal: 10aa0

Square: 4658881536

Square Root: 261.2584926849269

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

Consider coefficients U(m,L,k) defined by the identity ∑_k=1..L ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,L,k) * T^k that holds for all positive integers L,m,T. This sequence gives 3-column table read by rows, where the n-th row lists coefficients U(2,n,k) for k = 0, 1, 2; n >= 1. A316349

Expansion of x*(31 + 326·x + 336·x² + 26·x³ + x⁴) / (1 - x)⁶. A316457

E.g.f.: exp(-(x + x²/2 + x³/3)). A334569

Numbers m with property that m-th triangular number is a sum of divisors of some k-th triangular number (A175849). A175850

Numbers k such that (88·10^k - 1)/3 is prime. A293537

1/6 the number of colorings of an n X n square array with 6 colors. A68256

Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX6 array. A218590