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Properties of the Number 13006

Thirteen Thousand Six

Basics

Value: 13005 → 13006 → 13007

Parity: even

Prime: No

Previous Prime: 13003

Next Prime: 13007

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 929

Divisors: 1, 2, 7, 14, 929, 1858, 6503, 13006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11001011001110

Octal: 31316

Duodecimal: 763A

Hexadecimal: 32ce

Square: 169156036

Square Root: 114.04385121522334

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

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281802
Number of planar partitions of n with exactly 2 rows. A91356
T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203913
a(n) is the smallest integer k such that the n-th (backward) difference of the partition sequence A000041 is positive from k onwards. A155861
Indices of primes of the form 2t*3u + 1 in the primes. A174099
Numerators of continued fraction convergents to sqrt(224). A41418
Number of polyominoes of 2n-1 cells that span an n X n square. A57051
A014486-indices of A083932-trees. A83934
a(n) = number of triples (a,b,c) of natural numbers a,b,c <= n with gcd(a,b)=gcd(b,c)=gcd(c,a)=1. A256390
Number of simple disconnected weakly perfect graphs on n vertices. A287023