Properties of the Number 13167

Thirteen Thousand One Hundred Sixty-Seven

Basics

Value: 13166 → 13167 → 13168

Parity: odd

Prime: No

Previous Prime: 13163

Next Prime: 13171

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 11 × 19

Divisors: 1, 3, 7, 9, 11, 19, 21, 33, 57, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101101111

Octal: 31557

Duodecimal: 7753

Hexadecimal: 336f

Square: 173369889

Square Root: 114.74754899343166

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 n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Normalized triangle of odd numbered entries of even numbered rows of Pascal's triangle A007318. A91043

The O(1) loop model on the square lattice is defined as follows: At every vertex the loop turns to the left or to the right with equal probability, unless the vertex has been visited before, in which case the loop leaves the vertex via the unused edge. Every vertex is visited twice. The probability that a face of the lattice on an n X infinity cylinder is surrounded by zero loops is conjectured to be given by a(n)/A_HT(n)², where A_HT(n) is the number of n X n half turn symmetric alternating sign matrices. A92372

Alkane (or paraffin) numbers l(8,n). A5995

Positive numbers whose product of digits is 7 times their sum. A62384

Odd interprimes divisible by 19. A126231

Square array T(n,k), n >= 0, k >= 0, read by descending antidiagonals, where column k is the expansion of (1 - (k-3)*x)/(1 - 2*(k-1)*x + ((k-3)*x)²)^3/2. A331511

Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic. A32092

Numbers which are the sum of two positive cubes and divisible by 11. A101852

One half of binomial coefficients C(2·n-4,5). A53132