Properties of the Number 68745

Sixty-Eight Thousand Seven Hundred Forty-Five

Basics

Value: 68744 → 68745 → 68746

Parity: odd

Prime: No

Previous Prime: 68743

Next Prime: 68749

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 4583

Divisors: 1, 3, 5, 15, 4583, 13749, 22915, 68745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000110010001001

Octal: 206211

Duodecimal: 33949

Hexadecimal: 10c89

Square: 4725875025

Square Root: 262.1926772432823

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 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207500

Number of pairs of intersecting diagonals in the interior and exterior of a regular n-gon. A211380

Number of compositions of n where the difference between largest and smallest parts equals eight. A323125

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207497

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207503

a(n) = 1 + ∑_k=0..n (2·k - 1)*A349976(n, k). A349974

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}. A150013

Number of potential flows in 4 X 4 array with integer velocities in -n..n, i.e., number of 4 X 4 arrays with adjacent elements differing by no more than n, counting arrays differing by a constant only once. A68745