Properties of the Number 13505

Thirteen Thousand Five Hundred Five

Basics

Value: 13504 → 13505 → 13506

Parity: odd

Prime: No

Previous Prime: 13499

Next Prime: 13513

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 37 × 73

Divisors: 1, 5, 37, 73, 185, 365, 2701, 13505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011000001

Octal: 32301

Duodecimal: 7995

Hexadecimal: 34c1

Square: 182385025

Square Root: 116.21101496846157

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

Number of connected regular graphs with n nodes and girth at least 6. A186726

Number of ways to write n as an ordered sum of 5 nonprime numbers. A341482

a(n) = ∑_i=0..n binomial(n,i)²*i!*4ⁱ. A102773

5 times hexagonal numbers: 5·n*(2·n-1). A152745

Number of partitions of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is a part. A241409

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = ∑_j=0..n k^j * j! * binomial(n,j)². A341014

Number of integer partitions of n containing all of their own nonzero first differences. A364674

Distinct values of A218788 in the order of appearance. A218610

a(n) = n! * ∑_k=0..n binomial(n,k) * n^{n - k} / k!. A330260

From reversion of e.g.f. for squares. A66399