Properties of the Number 13007

Thirteen Thousand Seven

Basics

Value: 13006 → 13007 → 13008

Parity: odd

Prime: Yes

Previous Prime: 13003

Next Prime: 13009

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 13007

Divisors: 1, 13007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011001111

Octal: 31317

Duodecimal: 763B

Hexadecimal: 32cf

Square: 169182049

Square Root: 114.04823540940912

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) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 1. A50043

Smallest member of a pair of consecutive twin prime pairs that have exactly n primes between them. A89637

Primes p for which there are exactly as many primes in the range [p², p·nextprime(p)] as there are in the range [p·nextprime(p), nextprime(p)²], where nextprime(p) gives the next prime after prime p. A256472

Primes of the form k² + 11. A138362

Primes p such that p$ - 1 is also prime. Here '$' denotes the swinging factorial function (A056040). A163080

Sequence of twin prime p where the middle term p+1 has 6 prime factors (here p+2 is the associated twin prime, not listed). A164290

Prime numbers ending in James Bond number ''007''. A193552

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n-1 <= 2^p+1, with a(1) = 1, a(2) = 3, and a(3) = 2. A49920

Numbers k such that 216·k+108 is a term of A097703 and A007494 and A098240. A98241

Prime quadruples: 3rd term. A136721