Properties of the Number 13383

Thirteen Thousand Three Hundred Eighty-Three

Basics

Value: 13382 → 13383 → 13384

Parity: odd

Prime: No

Previous Prime: 13381

Next Prime: 13397

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1487

Divisors: 1, 3, 9, 1487, 4461, 13383

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001000111

Octal: 32107

Duodecimal: 78B3

Hexadecimal: 3447

Square: 179104689

Square Root: 115.68491690795304

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

Numbers that are the sum of 8 nonzero 8th powers. A3386

Number of partitions p of n such that (1/5)*max(p) is a part of p. A363068

Number of partitions into a triangular number of parts. A178927

Number of partitions of n where odd parts are distinct or repeated once. A131945

Number of partitions of n whose least part is a multiple of 3. A363094

A071156-codes for the fixed points of the permutation A125985/A125986. A126311

Expansion of φ(-x⁴) / (χ(-x¹²) * f(-x)²) in powers of·where φ(), χ(), f() are Ramanujan θ functions. A279476

a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n). A382619

a(1) = a(2) = 2; a(n) = a(n-1) + gpf(a(n-2)), where gpf is greatest prime factor. A258125

Expansion of e.g.f. ∏_k>=1 (1 - x^k/k!)³. A371552