Properties of the Number 5730

Five Thousand Seven Hundred Thirty

Basics

Value: 5729 → 5730 → 5731

Parity: even

Prime: No

Previous Prime: 5717

Next Prime: 5737

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 191

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 191, 382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011001100010

Octal: 13142

Duodecimal: 3396

Hexadecimal: 1662

Square: 32832900

Square Root: 75.69676347110224

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

Numbers whose sum of divisors is a cube. A20477

Numbers k such that Cyclotomic(k,k) (i.e., the value of k-th cyclotomic polynomial at k) is a prime number. A70519

a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence. A101135

Number of ways to write n as an ordered sum of 5 prime powers (including 1). A341134

de Bruijn's S(5,n) = ∑_{k = 0..2·n} (-1)^n+k*binomial(2·n, k)⁵. A50984

Golden Triangle sums: a(n)=a(n-2)+A001654(n) with a(0)=0 and a(1)=1. A180665

Expansion of ∑_k>0 x^2·k/(1+x^k)⁴. A363598

Numbers k such that prime(k+1)-(k+1)*τ(k+1) = prime(k-1)-(k-1)*τ(k-1) where τ(k) = A000005(k) is the number of divisors of k. A67335

Numbers k such that k² +-11 are primes. A176683

Expansion of g.f. A(x) satisfying 5 = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (5·A(x) + x^2·n-1)ⁿ⁺¹. A363185