Properties of the Number 55160

Fifty-Five Thousand One Hundred Sixty

Basics

Value: 55159 → 55160 → 55161

Parity: even

Prime: No

Previous Prime: 55147

Next Prime: 55163

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 197

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101111000

Octal: 153570

Duodecimal: 27B08

Hexadecimal: d778

Square: 3042625600

Square Root: 234.86166140943482

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

One-half the number of permutations of length n with exactly 1 rising or falling successions. A130

Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention. A10028

Number of ways to color vertices of a pentagon using <= n colors, allowing rotations and reflections. A60446

Nonunitary weird numbers: numbers that are nonunitary abundant but not nonunitary pseudoperfect. A327948

Triangle read by rows: T(n,k) = one-half number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. T(1,0) = 1 by convention. A86856

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)/3! * xⁿ * (1 + xⁿ)ⁿ. A326004

Triangle read by rows related to double factorial of odd numbers (A001147). A230696

Numbers n with the property that n=a-b where a has the digits of n in descending order and b has the digits of n in ascending order (perhaps with leading zeros), ordered by a. A55160

a(2·n) equals coefficient of xⁿ in A(x)ⁿ⁺¹ and a(2·n+1) equals coefficient of xⁿ in A(x)ⁿ⁺², for n>=0. A94557