Properties of the Number 5724

Five Thousand Seven Hundred Twenty-Four

Basics

Value: 5723 → 5724 → 5725

Parity: even

Prime: No

Previous Prime: 5717

Next Prime: 5737

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 53

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001011100

Octal: 13134

Duodecimal: 3390

Hexadecimal: 165c

Square: 32764176

Square Root: 75.65712127751095

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

Expansion of ∑_k>=2 x^k*(k+3/2) / ∏_j=1..k (1 - x^j). A318029

a(n) = |{m : multiplicative order of 10 mod m is equal to n}|. A59892

4 times hexagonal numbers: a(n) = 4·n*(2·n-1). A85250

a(n) = lcm(p-1, p+1) where p is the n-th prime. A84921

Number of interior intersection points made by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A91908

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. A229586

Least even leg of primitive Pythagorean triangles with odd leg 2n+1. A88557

E.g.f. satisfies A(x) = 1 - x·A(x)*log(1 - x·A(x)). A371121

θ series of the 12-dimensional lattice of hyper-roots D₃(SU(3)). A288488

Numbers k such that σ(k) = 2·usigma(k). A63880