Properties of the Number 13285

Thirteen Thousand Two Hundred Eighty-Five

Basics

Value: 13284 → 13285 → 13286

Parity: odd

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 2657

Divisors: 1, 5, 2657, 13285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001111100101

Octal: 31745

Duodecimal: 7831

Hexadecimal: 33e5

Square: 176491225

Square Root: 115.26057435220423

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) = 8·n² - 4·n + 1. A80856

T(n,k) is the number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11. A254947

a(n) = (prime(n)² + 1)/2. A66885

Least k such that prime(n)² divides binomial(2k,k). A110494

Odd numbers m that are neither of the form p + 2^k nor of the form p - 2^k with 2^k < m, k >= 1, and p prime. A255967

Numbers n such that primorial(n)/2 - 64 is prime. A139448

Number of partitions of n into an even number of parts such that the set of even parts has only one element. A341494

Number of partitions of n with exactly one repeated part and that part is odd. A341497

Downward vertical of triangular spiral in A051682. A81272

Compound filter (multiplicative order of 2 mod 2n+1 & eulerphi(2n+1)): a(n) = P(A002326(n), A037225(n)), where P(n,k) is sequence A000027 used as a pairing function. A291755