Properties of the Number 55395

Fifty-Five Thousand Three Hundred Ninety-Five

Basics

Value: 55394 → 55395 → 55396

Parity: odd

Prime: No

Previous Prime: 55381

Next Prime: 55399

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1231

Divisors: 1, 3, 5, 9, 15, 45, 1231, 3693, 6155, 11079

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001100011

Octal: 154143

Duodecimal: 28083

Hexadecimal: d863

Square: 3068606025

Square Root: 235.36142419691464

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

Number of ways to place 2 nonattacking kings on an n X n X n raumschach board. A166540

a(1) = 1; a(n) = -∑_k=2..n k³ * a(floor(n/k)). A360658

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)*b(n-2), where a(0) = 1, a(1) = 3, a[2] = 5, b(0) = 2, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A295364

Number of 5-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187510

Square table T(n, d) read by antidiagonals: number of ways to place 2 nonattacking kings on an n^d (n X n X ...) raumschach board (hypercubical chessboard). A194604

Number of bracketings of 0#0#0#...#0 giving result 0, where 0#0 = 0#1 = 1#0 = 1, 1#1 = 0. A55395