Properties of the Number 5752

Five Thousand Seven Hundred Fifty-Two

Basics

Value: 5751 → 5752 → 5753

Parity: even

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 719

Divisors: 1, 2, 4, 8, 719, 1438, 2876, 5752

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001111000

Octal: 13170

Duodecimal: 33B4

Hexadecimal: 1678

Square: 33085504

Square Root: 75.84194090343416

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

Exponential generating function is exp(2·x/(1-x))/(1-x). A87912

A(n,k) = n! * Laguerre(n,-k); square array A(n,k), n>=0, k>=0, read by antidiagonals. A289192

Number of not necessarily connected 3-regular simple graphs on 2n vertices with girth exactly 5. A185135

Number of permutations p of 1,2,...,n satisfying |p(i+1)-p(i)|<>4 and |p(j+4)-p(j)|<>1 for all i=1..n-1, j=1..n-4. A189563

Coefficients in an asymptotic expansion of A003319(n)/n! in falling factorials. A259472

Number T(n,k) of compositions of n such that the set of parts is [k]; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows. A373118

T(n,k) = Number of n X k binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing. A266362

Triangle read by rows: T(n,k) is the maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X k rectangle. A361216

Number of compositions of n² with parts <= n, such that each element of [n] is used at least once. A332721

Number of ways to place n nonattacking composite pieces rook + rider[1,4] on an n X n chessboard. A189851