Properties of the Number 88101

Eighty-Eight Thousand One Hundred One

Basics

Value: 88100 → 88101 → 88102

Parity: odd

Prime: No

Previous Prime: 88093

Next Prime: 88117

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 13 × 251

Divisors: 1, 3, 9, 13, 27, 39, 117, 251, 351, 753

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101100000100101

Octal: 254045

Duodecimal: 42B99

Hexadecimal: 15825

Square: 7761786201

Square Root: 296.8181261311378

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 T(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A258829

a(n) = ∑_k=1..n tan(k*π/(1+2·n))⁴. A377858

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of three. A316390

Number of n-vertex, 2-edge multigraphs that are not nesting. Number of n-vertex, 2-edge multigraphs that are not crossing. A326278

Group the natural numbers with at least two members in each group such that the n-th group sum is a multiple of n. (1,2), (3,4,5), (6,7,8), (9,10,11,12,13,14,15), (16,17,18,19), (20,21,22,23,24,25,26,27,28), (29,30,31,32,33,34), ... Sequence contains the n-th group sum divided by n. A88101