Properties of the Number 68761

Sixty-Eight Thousand Seven Hundred Sixty-One

Basics

Value: 68760 → 68761 → 68762

Parity: odd

Prime: No

Previous Prime: 68749

Next Prime: 68767

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 × 19 × 47

Divisors: 1, 7, 11, 19, 47, 77, 133, 209, 329, 517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110010011001

Octal: 206231

Duodecimal: 33961

Hexadecimal: 10c99

Square: 4728075121

Square Root: 262.2231873805213

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

a(n) is the denominator of the expected end time of a game with three gamblers, one of which starts with capital n, the others with capital 1 each, conditional on the event that one of the two poor players wins. A366996

a(n) is the denominator of the resistance R(n) = A338401(n)/a(n) of a triangular network of 3·n*(n+1)/2 one Ohm resistors in a hexagonal lattice arrangement. A338402

a(n) = 2·a(n-2)+5·a(n-3), n>6. A107229

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0100-1100-1111 pattern in any orientation. A146790

Number of potential flows in n X n array with integer velocities in -14..14, i.e., number of n X n arrays with adjacent elements differing by no more than 14, counting arrays differing by a constant only once. A68761

Triangle T(n,m) by rows: the number of tatami tilings of a 4 by n grid with 2·m monomers. A272473