Properties of the Number 13563

Thirteen Thousand Five Hundred Sixty-Three

Basics

Value: 13562 → 13563 → 13564

Parity: odd

Prime: No

Previous Prime: 13553

Next Prime: 13567

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 137

Divisors: 1, 3, 9, 11, 33, 99, 137, 411, 1233, 1507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010011111011

Octal: 32373

Duodecimal: 7A23

Hexadecimal: 34fb

Square: 183954969

Square Root: 116.46029366269003

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

Divisors of 99999999. A27890

Nim product 2ⁿ * 2ⁿ. A6017

Divisors of 10¹⁶ - 1. A111211

Consecutive states of the linear congruential pseudo-random number generator 20403·s mod 2¹⁵ when started at s=1. A384196

Long legs of primitive Pythagorean triples (a,b,c) for which 2a+1, 2b+1 and 2c+1 are primes. A165237

Number of grid-filling curves of order n (on the square grid) with turns by +-90 degrees generated by folding morphisms that are self-avoiding but not plane-filling. A343990

Number of Dyck paths of semilength n and having no UDUD's starting at level 0; here U=(1,1), D=(1,-1). A127154

Number of permutations in S_n avoiding {bar 5}{bar 4}231 (i.e., every occurrence of 231 is contained in an occurrence of a 54231). A137553

Numbers with ordered partitions that have periods of length 5. A178572

a(n) = ( 2·n*(2·n² + 11·n + 26) - (-1)ⁿ + 1 )/16. A256666