Properties of the Number 13283

Thirteen Thousand Two Hundred Eighty-Three

Basics

Value: 13282 → 13283 → 13284

Parity: odd

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 37 × 359

Divisors: 1, 37, 359, 13283

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001111100011

Octal: 31743

Duodecimal: 782B

Hexadecimal: 33e3

Square: 176438089

Square Root: 115.25189803209317

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

Dowling numbers: e.g.f. exp(x + (exp(b·x) - 1)/b), with b=7. A3579

Let P1>=5, P2, P3 be consecutive primes, with P2-P1=2. a(n)=(P1+P2)/12 when P3-P2 sets a record. A329160

Number of partitions of n whose greatest part is a multiple of 4. A363046

Semiprimes in A054552. A113690

Position of 2ⁿ in A051037 (5-smooth numbers). A188425

Expansion of (1-x+19·x³-3·x⁴)/(1-x)³. A195241

G.f.: ∑_k>=1 x^2·k-1/(1-x^2·k-1) * ∏_k>=1 (1+x^k)/(1-x^k). A305105

Greatest integer k such that k/Fibonacci(n) <= 3/4. A293631

a(n) is the integer k that minimizes |k/Fibonacci(n) - 3/4|. A293633

Let P1 >= 5, P2, P3 be consecutive primes, with P2 - P1 = 2. a(n) = (P1 + P2)/12 for the first occurrence of (P3 - P2)/2 = n. A329252