Properties of the Number 54142

Fifty-Four Thousand One Hundred Forty-Two

Basics

Value: 54141 → 54142 → 54143

Parity: even

Prime: No

Previous Prime: 54139

Next Prime: 54151

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 23 × 107

Divisors: 1, 2, 11, 22, 23, 46, 107, 214, 253, 506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101111110

Octal: 151576

Duodecimal: 273BA

Hexadecimal: d37e

Square: 2931356164

Square Root: 232.68433552777032

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

Let f(x) = 1 + ∑_j>=4 (|μ(j)| - |μ(j-1)|)*x^j, where μ(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of xⁿ in the expansion of log(f(x)). A262400

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (1, -1, 0), (1, 0, 1)}. A148123

Triangular array binomial(2·n-k, k), k=0..n, n >= 0. A54142