Properties of the Number 24189

Twenty-Four Thousand One Hundred Eighty-Nine

Basics

Value: 24188 → 24189 → 24190

Parity: odd

Prime: No

Previous Prime: 24181

Next Prime: 24197

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 733

Divisors: 1, 3, 11, 33, 733, 2199, 8063, 24189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111001111101

Octal: 57175

Duodecimal: 11BB9

Hexadecimal: 5e7d

Square: 585107721

Square Root: 155.5281325034156

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

Expansion of 1/(1 - x - x² + x³ - x⁷ + x⁹ - x¹¹). A147663

Poincaré series [or Poincare series] (or Molien series) for a certain four-fold wreath product P₄. A91434

a(0) = 12, after which, if (2·a(n-1)) - 1 = ∏_{k >= 1} (p_k)^c_k then a(n) = ∏_{k >= 1} (p_k-1)^c_k, where p_k indicates the k-th prime, A000040(k). A246343

Sum of piles of first n primes: a(n) = Sum(prime(i)*(2·i-1): 1<=i<=n). A316322

Odd terms of A059756. A111042

a(n) = ((n+3)!/2)*∑_k=1..n (-1)^k+1/(k+3). A24189