Properties of the Number 13005

Thirteen Thousand Five

Basics

Value: 13004 → 13005 → 13006

Parity: odd

Prime: No

Previous Prime: 13003

Next Prime: 13007

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 17 ²

Divisors: 1, 3, 5, 9, 15, 17, 45, 51, 85, 153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001011001101

Octal: 31315

Duodecimal: 7639

Hexadecimal: 32cd

Square: 169130025

Square Root: 114.03946685248927

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

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

Reverse and add (in binary) - written in base 10. A35522

Volume of a certain rational polytope whose points with given denominator count certain sets of Standard Tableaux. A12249

Numbers k such that k-4, k-2, k+2 and k+4 are prime. A173037

Numbers that are multiple-digit narcissistic numbers in exactly three bases. A256362

Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity). A46347

Number of n X 1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than itself. A196423

Terms k of A228058 for which A048146(k)+A162296(k) >= 2·k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor. A389219

Composites that are the sum of two, three, four and five consecutive composite numbers. A151745

E.g.f.: ∑_n>=0 a(n) * (cos(n·x)-sin(n·x)) * xⁿ/n! = 1/(1-x). A219504