Properties of the Number 17580

Seventeen Thousand Five Hundred Eighty

Basics

Value: 17579 → 17580 → 17581

Parity: even

Prime: No

Previous Prime: 17579

Next Prime: 17581

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 293

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010010101100

Octal: 42254

Duodecimal: A210

Hexadecimal: 44ac

Square: 309056400

Square Root: 132.58959235173776

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) = 3·2*1 + 6·5*4 + 9·8*7 + 12·11·10 + ... + (up to the n-th term). A319867

Sum over each antidiagonal of A248011. A248016

a(n) = a(n-1) + 4·a(n-2) - 2·a(n-3), where a(0) = 2, a(1) = 4, a(2) = 8. A288476

5 times centered pentagonal numbers: 5*(5·n² + 5·n + 2)/2. A164015

Least number k >= 0 such that (n!+k)/n is prime. A245695

a(n) = n³ + 4. A274077

Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with three. A292169

(1/7) times the sum of the elements of all subsets of [n] whose sum is divisible by seven. A309299

G.f. A(x) = ∑_n>=0 a(n)*xⁿ satisfies: [∑_n>=0 xⁿ/(1 - xⁿ⁺¹)]⁴ = ∑_n>=0 a(n)*xⁿ/(1 - xⁿ⁺¹)⁴. A341375

Numbers k such that prime(k) + prime(k+1)*2 is a square. A64504