Properties of the Number 68144

Sixty-Eight Thousand One Hundred Forty-Four

Basics

Value: 68143 → 68144 → 68145

Parity: even

Prime: No

Previous Prime: 68141

Next Prime: 68147

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 4259

Divisors: 1, 2, 4, 8, 16, 4259, 8518, 17036, 34072, 68144

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101000110000

Octal: 205060

Duodecimal: 33528

Hexadecimal: 10a30

Square: 4643604736

Square Root: 261.0440575841557

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

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁸. A341247

G.f.: ∑_k>=1 (k⁴ * x^k² / ∏_j=1..k (1 - x^j)). A333152

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two or four distinct values for every i,j,k<=n. A211721

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having three, four or five distinct values for every i,j,k<=n. A211724

T(n,k) = Number of lower triangles of an n X n integer array with each element differing from all of its vertical and horizontal neighbors by k or less and triangles differing by a constant counted only once. A195278

Triangular numbers which are a concatenation of two or more positive triangular numbers. A68144

Number of lower triangles of a 5X5 integer array with each element differing from all of its vertical and horizontal neighbors by n or less and triangles differing by a constant counted only once. A195281