Properties of the Number 68958

Sixty-Eight Thousand Nine Hundred Fifty-Eight

Basics

Value: 68957 → 68958 → 68959

Parity: even

Prime: No

Previous Prime: 68947

Next Prime: 68963

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 1277

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 1277, 2554

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110101011110

Octal: 206536

Duodecimal: 33AA6

Hexadecimal: 10d5e

Square: 4755205764

Square Root: 262.5985529282292

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one horizontal or antidiagonal neighbor and the top left element equal to 0. A267617

Number of compositions of n where the difference between largest and smallest parts equals nine. A323126

Number of 3 X n arrays containing n copies of 0..3-1 with every element equal to at least one horizontal or antidiagonal neighbor and the top left element equal to 0. A267619

Number of base 10 circular n-digit numbers with adjacent digits differing by 1 or less. A124703

Array read by antidiagonals: T(m,n) = number of m-ary words of length n with cyclically adjacent elements differing by 1 or less. A276562

Smallest value of k such that p | (10^k + 1), where p is the n-th prime; or 0 if no such k exists. A68958