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Properties of the Number 5787

Five Thousand Seven Hundred Eighty-Seven

Basics

Value: 5786 → 5787 → 5788

Parity: odd

Prime: No

Previous Prime: 5783

Next Prime: 5791

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 2 × 643

Divisors: 1, 3, 9, 643, 1929, 5787

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010011011

Octal: 13233

Duodecimal: 3423

Hexadecimal: 169b

Square: 33489369

Square Root: 76.0723339986358

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 >= 2. A32022
Number of times prime(n) (the n-th prime) occurs as the least prime factor among numbers 1 .. (prime(n)2 * prime(n+1)): a(n) = A078898(A251720(n)). A250477
Number of partitions of n in which no part appears more than twice and no two parts differ by 1. A70047
T(n,k)=Number of length n+2 0..k arrays with no three unequal elements in a row and new values 0..k introduced in 0..k order. A243641
Hyper-Wiener index of a benzenoid consisting of a zig-zag chain of n hexagons (s=13; see the Gutman et al. reference). A193394
The 360 degree spoke (or ray) of a hexagonal spiral of Ulam. A244803
Maximal term of TRIP-Stern sequence of level n corresponding to permutation triple (e,13,132). A271487
Number of solid partitions of n supported on graph of cube. A3404
Number of partitions of [n] such that no block contains its size as an element. A363881
<h[d+1,d-1],s[d,d]*s[d,d]*s[d,d]> where h[d+1,d-1] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions. A115376