Properties of the Number 66456

Sixty-Six Thousand Four Hundred Fifty-Six

Basics

Value: 66455 → 66456 → 66457

Parity: even

Prime: No

Previous Prime: 66449

Next Prime: 66457

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 13 × 71

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001110011000

Octal: 201630

Duodecimal: 32560

Hexadecimal: 10398

Square: 4416399936

Square Root: 257.79061270729

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

G.f. A(x) satisfies: A( 3·A(x)³ - 54·A(x)⁴ ) = 3·x³. A369532

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+511)² = y². A207078

a(n) = n! * (n + 1 + 2*∑_k=1...n 1/k). A775

Number of partitions of n in which exactly one odd part is repeated and even parts are unrestricted. A353903

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, 0, 1), (1, -1, 1), (1, 0, -1), (1, 1, 1)}. A150872

Upper bound on number of regular triangulations of cyclic polytope C(n, n-4). A66456