Properties of the Number 63144

Sixty-Three Thousand One Hundred Forty-Four

Basics

Value: 63143 → 63144 → 63145

Parity: even

Prime: No

Previous Prime: 63131

Next Prime: 63149

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 877

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011010101000

Octal: 173250

Duodecimal: 30660

Hexadecimal: f6a8

Square: 3987164736

Square Root: 251.2846990964631

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

Triangle of coefficients of ordered cycle-index polynomials: T(n,k) = binomial(n,k)*Bell(k)*Bell(n-k). A33306

Number of ways to tile a 5 X 2n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point. A68924

The Padovan sequence A000931 doubled. A291289

Number of binary strings of length n with no substrings equal to 0001 or 0100. A164394

Expansion of ( f(-q)¹² + 22·q * f(-q)⁶ * f(-q⁵)⁶ + 125·q² * f(-q⁵)¹² ) / (f(-q) * f(-q⁵))² in powers of q where f() is a Ramanujan θ function. A235870

G.f. satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] A(x)ⁿ for n>1 with A(0)=A'(0)=1. A158883

Dimension of the space of weight 2n cusp forms for Gamma₀( 76 ). A63144