Properties of the Number 13305

Thirteen Thousand Three Hundred Five

Basics

Value: 13304 → 13305 → 13306

Parity: odd

Prime: No

Previous Prime: 13297

Next Prime: 13309

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 887

Divisors: 1, 3, 5, 15, 887, 2661, 4435, 13305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111111001

Octal: 31771

Duodecimal: 7849

Hexadecimal: 33f9

Square: 177023025

Square Root: 115.34730165894649

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

Triangle R, read by rows, where column k of R equals column 0 of P^2k+1 where P=A135880. A135894

a(n) = 104·n + 9977. A126978

Triangle, read by rows equal to the matrix product R^-1·Q, where Q = A135885 and R = A135894; R^-1·Q equals triangle R shifted down one row. A135900

Antidiagonal sums of table A083362. A83364

Values of z in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138669

Numbers n such that the Collatz iterations for n and n + 1 have the same length (A078417) but do not meet a certain condition. (See comments.) A274410

a(n) = T(8,n), array T given by A047858. A48469

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254906

Partial sums of A147562. A272928

Number of 3Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301886