Properties of the Number 13205

Thirteen Thousand Two Hundred Five

Basics

Value: 13204 → 13205 → 13206

Parity: odd

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 19 × 139

Divisors: 1, 5, 19, 95, 139, 695, 2641, 13205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110010101

Octal: 31625

Duodecimal: 7785

Hexadecimal: 3395

Square: 174372025

Square Root: 114.9130105775669

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

Palindromic numbers in bases 3 and 9 written in base 10. A259386

Number A(n,k) of k-ascent sequences of length n with no consecutive repeated letters; square array A(n,k), n>=0, k>=0, read by antidiagonals. A264909

Number of configurations of the 6 X 2 variant of the so-called "Sam Loyd" sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90167

Numbers m such that 18·m + 1, 36·m + 1, 108·m + 1, and 162·m + 1 are all primes. A372188

Expansion of g.f.: 1/((1 - x² - x³ - x⁴ - x⁵ - x⁶ - x⁷)*(1 + x + x² + x³ + x⁴ + x⁵ - x⁷)). A147605

Number of quadrilateral regions in a "frame" of size n X n (see Comments in A331776 for definition), divided by 8. A332596

Partial sums of first m composite numbers arising in A053781. A73262

5 times centered pentagonal numbers: 5*(5·n² + 5·n + 2)/2. A164015

Numbers k whose ordered binary weights (A000120) of their divisors are the numbers 1 to A000005(k). A354724

Number of partitions of n with rank 4 (the rank of a partition is the largest part minus the number of parts). A363213