Properties of the Number 11637

Eleven Thousand Six Hundred Thirty-Seven

Basics

Value: 11636 → 11637 → 11638

Parity: odd

Prime: No

Previous Prime: 11633

Next Prime: 11657

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 431

Divisors: 1, 3, 9, 27, 431, 1293, 3879, 11637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110101110101

Octal: 26565

Duodecimal: 6899

Hexadecimal: 2d75

Square: 135419769

Square Root: 107.87492757819122

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

Number of permutations of 1..n avoiding adjacent step pattern up, down, up. A177477

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally. A189696

Positive numbers whose product of digits is 7 times their sum. A62384

a(1) = 2; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1. A25003

Largest integer not expressible as a nonnegative linear combination of n and n² + 1. A87908

Number of integer partitions of n whose nonzero first differences are a submultiset of the parts. A364675

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern up, down, up; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows. A227884

a(n) = 2·n³ - 2·n + 9. A127989

a(n) = 16·n² - n. A157446

Number of compositions of n such that the set s of parts and multiplicities satisfies s = {1..max(s)}. A335942