Properties of the Number 13805

Thirteen Thousand Eight Hundred Five

Basics

Value: 13804 → 13805 → 13806

Parity: odd

Prime: No

Previous Prime: 13799

Next Prime: 13807

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 251

Divisors: 1, 5, 11, 55, 251, 1255, 2761, 13805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111101101

Octal: 32755

Duodecimal: 7BA5

Hexadecimal: 35ed

Square: 190578025

Square Root: 117.49468073066116

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

Partial sums of A001157: ∑_j=1..n sigma₂(j). A64602

Numbers m such that there are precisely 7 groups of order m. A249550

Number of integer partitions of n with no part divisible by all the others. A343341

Number of partitions of n having population standard deviation >= 2. A238662

a(n) is the minimal determinant of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal. A374239

a(n) = number of m such that A080737(m) <= 2n. A80740

a(n) is the maximal absolute value of the determinant of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal. A374241

Column 3 of triangle A123610. A123613

a(n) = 12·n² + 22·n + 11. A154106

Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments. A249248