Properties of the Number 13509

Thirteen Thousand Five Hundred Nine

Basics

Value: 13508 → 13509 → 13510

Parity: odd

Prime: No

Previous Prime: 13499

Next Prime: 13513

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 79

Divisors: 1, 3, 9, 19, 57, 79, 171, 237, 711, 1501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011000101

Octal: 32305

Duodecimal: 7999

Hexadecimal: 34c5

Square: 182493081

Square Root: 116.2282237668631

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 k such that σ(k) = ψ(k) + π(k). A387999

Numbers that are the sum of nine fourth powers in nine or more ways. A345593

Numbers that are the sum of nine fourth powers in exactly nine ways. A345851

Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) = cn(2,5) = cn(3,5). A36892

Sum of the prime parts in the partitions of n into 9 parts. A309470

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192760

Number of primes between n⁴ and (n+1)⁴. A61235

Numbers k such that k - A067666(k) is a square. A386304

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,1,4}. A79956

a(n) is the Wiener index of a broom on 2n vertices of which n+2 are pendant. A349416