Properties of the Number 5739

Five Thousand Seven Hundred Thirty-Nine

Basics

Value: 5738 → 5739 → 5740

Parity: odd

Prime: No

Previous Prime: 5737

Next Prime: 5741

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 1913

Divisors: 1, 3, 1913, 5739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001101011

Octal: 13153

Duodecimal: 33A3

Hexadecimal: 166b

Square: 32936121

Square Root: 75.75618786607468

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

a(n) = 4·n² - 9·n + 6. A54556

Number of subsets of {1..n} with all distinct lengths of maximal runs (increasing by 1). A384175

Number of integer partitions of n whose product is a perfect power. A320322

Sum of squares of three consecutive primes. A133529

Number of partitions where no part is a multiple of 9. A104502

a(1) = 9; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74345

a(n) = a(n-2) + a(n-5). A1687

Number of binary words of length n in which the ones occur only in blocks of length at least 4. A5253

Number of 3 X 3 stochastic matrices under row and column permutations. A52282

a(n) = p(0) + p(1) + ... + p(n) - n - 1, where p = partition numbers, A000041. A58682