Properties of the Number 18213

Eighteen Thousand Two Hundred Thirteen

Basics

Value: 18212 → 18213 → 18214

Parity: odd

Prime: No

Previous Prime: 18211

Next Prime: 18217

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 467

Divisors: 1, 3, 13, 39, 467, 1401, 6071, 18213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011100100101

Octal: 43445

Duodecimal: A659

Hexadecimal: 4725

Square: 331713369

Square Root: 134.95554823718808

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

Inverse Euler transform of {1, primes}. A30011

McKay-Thompson series of class 14B for Monster. A58503

Expansion of q^-1 * (χ(-q) * χ(-q⁷))³ in powers of q where χ() is a Ramanujan θ function. A132319

McKay-Thompson series of class 28B for the Monster group. A112169

a(n) = a(n-1) + p(n) if p(n) > a(n-1), otherwise a(n) = a(n-1) - p(n), where p is the partition function A000041 (assuming a(n) = 0 for n < 0). A331165

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 110-111-010 pattern in any orientation. A146241

Number of permutations of 1..n containing the relative rank sequence { 256143 } at any spacing. A159166

Alkane (or paraffin) numbers l(12,n). A18213

a(n) is the smallest k > 1 such that the sum of digits of n^k is a power of n (or -1 if no such k exists). A358633