Properties of the Number 24101

Twenty-Four Thousand One Hundred One

Basics

Value: 24100 → 24101 → 24102

Parity: odd

Prime: No

Previous Prime: 24097

Next Prime: 24103

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 7 × 11 × 313

Divisors: 1, 7, 11, 77, 313, 2191, 3443, 24101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111000100101

Octal: 57045

Duodecimal: 11B45

Hexadecimal: 5e25

Square: 580858201

Square Root: 155.24496771232234

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x/(1 - x)^k). A293012

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁸ *∏_i=1..t (1-xⁱ) ). A59825

Triangle read by rows: T(m,n) is the Szeged index of the grid graph P_m X P_n (1 <= n <= m). A245826

a(n) = n! * [xⁿ] exp(x/(1 - x)ⁿ). A293013

E.g.f. satisfies A(x) = exp( x·A(x) / (1-x) ) / (1-x). A377595

2·3*5·6*...*a(n) -+ 1 are primes, with a(n+1) > a(n). A87900

Number of labeled n-vertex 2-edge multigraphs that are neither crossing nor nesting. A326247

a(n) = 9ⁿ-1. A24101