Properties of the Number 55336

Fifty-Five Thousand Three Hundred Thirty-Six

Basics

Value: 55335 → 55336 → 55337

Parity: even

Prime: No

Previous Prime: 55333

Next Prime: 55337

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 6917

Divisors: 1, 2, 4, 8, 6917, 13834, 27668, 55336

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100000101000

Octal: 154050

Duodecimal: 28034

Hexadecimal: d828

Square: 3062072896

Square Root: 235.23605165875404

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

Inverse binomial transform of {1, primes}. A30016

Number of nonequivalent ways to place n non-attacking rooks on an n X n board with no rook on 2 main diagonals up to rotations and reflections of the board. A292080

a(n) = ∑_{k=0..floor(n/2)} 2^n-2·k * binomial(2·k+1,2·n-4·k+1). A387651

Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0, 1, 3, 6, or 7. A252188

Multiplicity of highest weight (or singular) vectors associated with character chi₄₉ of Monster module. A34437

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

Number of (n+2)X6 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order. A204149

Number of asymmetric (identity) trees with n nodes and 5 leaves. A55336