Properties of the Number 13206

Thirteen Thousand Two Hundred Six

Basics

Value: 13205 → 13206 → 13207

Parity: even

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 31 × 71

Divisors: 1, 2, 3, 6, 31, 62, 71, 93, 142, 186

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110010110

Octal: 31626

Duodecimal: 7786

Hexadecimal: 3396

Square: 174398436

Square Root: 114.91736161259533

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) = binomial(n+5,6) + binomial(n+3,3) + binomial(n+2,3) + binomial(n-1,1). A105450

Denominators of continued fraction convergents to sqrt(795). A42533

Number of sequences of length n with elements {-2,-1,+1,+2}, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (directed) circuits on the circulant graph C_n(1,2). A137725

a(n) = (11·7ⁿ + 1)/2. A199491

a(n) = ∑_k=1..n floor(n/(2·k-1))^k. A350147

a(n) = (-4 + (-2)ⁿ + 2·3ⁿ⁺¹)/3 - [n=0]. A120656

Number of (n+1) X 2 binary arrays with rows and columns in nondecreasing order and with no 2 X 2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184063

Number of n X 3 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing. A266357

Numbers k, not ending in 0, such that inserting a 0 between each pair of adjacent digits results in a multiple of k. A287336

Number of n X 6 0..1 arrays with every element equal to 0, 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. A298492