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Properties of the Number 12905

Twelve Thousand Nine Hundred Five

Basics

Value: 12904 → 12905 → 12906

Parity: odd

Prime: No

Previous Prime: 12899

Next Prime: 12907

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 29 × 89

Divisors: 1, 5, 29, 89, 145, 445, 2581, 12905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001001101001

Octal: 31151

Duodecimal: 7575

Hexadecimal: 3269

Square: 166539025

Square Root: 113.6001760562016

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

Free polyominoes with 2n squares, having 180-degree rotational symmetry about a square mid-side, but no reflective symmetry. A234008
a(n) = 25·n2 - 14·n + 2. A154357
Expansion of (1-x2) / (1-x-3·x2+x3). A382683
Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1. A35954
a(n) is the smallest nonnegative integer such that the sum of any five ordered terms a(k), k<=n (repetitions allowed), is unique. A365301
Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1, 3), (5, 9), (7, 13), (11, 19), (15, 25), (17, 29), (21, 35), (23, 39), (27, 45), ... This is the sequence of the product of the members of pairs. A75320
Number of isosceles triangles, distinct up to congruence, on a centered hexagonal grid of size n. A241237
a(n) = p(2,n), where p(x,n) is the strong divisibility sequence of polynomials based on sqrt(6) as in A327323. A329016
Pseudoprimes to base 12. A20140
Smallest multiple of n that begins with the concatenation of the divisors of n (in increasing order). A78218