Properties of the Number 13605

Thirteen Thousand Six Hundred Five

Basics

Value: 13604 → 13605 → 13606

Parity: odd

Prime: No

Previous Prime: 13597

Next Prime: 13613

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 907

Divisors: 1, 3, 5, 15, 907, 2721, 4535, 13605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100100101

Octal: 32445

Duodecimal: 7A59

Hexadecimal: 3525

Square: 185096025

Square Root: 116.64047325006874

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·a(n-1) - a(n-3), with a(0) = 3, a(1) = 3, and a(2) = 9. A215885

Sum of largest parts of all partitions of n into an even number of parts. A222048

T(n,k) is the number of connected unlabeled posets with n elements and rank k: triangle read by rows. A342500

Draw a regular n-gon and the enclosing circle, then for each pair of vertices X, Y, draw a circle with diameter XY; the union of these figures is the graph H_n; sequence gives number of edges in H_n. A370979

Partial sums of number of overpartitions (A015128). A277643

Trajectory of 8 under iteration of the map k -> A087712(k). A144813

Number of integer partitions of n with non-integer median of multiplicities. A360690

Numbers k such that 10·7^k + 1 is prime. A57437

Numbers n such that 2ⁿ divided by the number of digits of 2ⁿ is an integer. A158520

Number of nX4 integer arrays with each element equal to the number of horizontal and vertical neighbors differing from itself by exactly one. A266077