Properties of the Number 5627

Five Thousand Six Hundred Twenty-Seven

Basics

Value: 5626 → 5627 → 5628

Parity: odd

Prime: No

Previous Prime: 5623

Next Prime: 5639

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 331

Divisors: 1, 17, 331, 5627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111111011

Octal: 12773

Duodecimal: 330B

Hexadecimal: 15fb

Square: 31663129

Square Root: 75.0133321483588

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 integer partitions of n having a unique mode. A362608

Number of integer partitions of n such that the maximum is twice the median. A361849

A(n,k) is (1/n) times the n-th derivative of the k-th tetration of x (power tower of order k) x^^k at x=1; square array A(n,k), n>=1, k>=1, read by antidiagonals. A295028

Pseudo-random numbers: a (very weak) pseudo-random number generator from the second edition of the C book. A61364

Ultra-useful primes: smallest k such that 2^2ⁿ - k is prime. A58220

Partitions of n with parts having at most 3 distinct magnitudes. A309058

a(n) = 2ⁿ*∑_k=0..n (n+k)!/((n-k)!*k!*4^k). A43301

Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1. A35954

a(n) = 4·n*(n+1) + 3. A164897

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) = (number of numbers in p having multiplicity > 1). A241274