Properties of the Number 27631

Twenty-Seven Thousand Six Hundred Thirty-One

Basics

Value: 27630 → 27631 → 27632

Parity: odd

Prime: Yes

Previous Prime: 27617

Next Prime: 27647

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 27631

Divisors: 1, 27631

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111101111

Octal: 65757

Duodecimal: 13BA7

Hexadecimal: 6bef

Square: 763472161

Square Root: 166.22575011110644

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 compositions (ordered partitions) of n into distinct parts such that number of parts is odd. A332304

Number A(n,k) of 3n-length k-ary words, either empty or beginning with the first letter of the alphabet, that can be built by repeatedly inserting triples of identical letters into the initially empty word; square array A(n,k), n>=0, k>=0, by antidiagonals. A213027

G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - 2·x * A(x)²)). A349255

a(n) = 12·a(n-1) - 31·a(n-2) for n > 1; a(0) = 1, a(1) = 7. A163306

Number of 3n-length 4-ary words, either empty or beginning with the first letter of the alphabet, that can be built by repeatedly inserting triples of identical letters into the initially empty word. A218474

Smaller of the two consecutive primes whose sum is a triangular number. A225077

Primes p such that p⁴ - p +/- 1 are twin primes. A236952

Odd numbers n such that the sum of the binary digits of n and n² both equal 12. A261593

Molien series for Hecke group H_3,4. A27631