Properties of the Number 15207

Fifteen Thousand Two Hundred Seven

Basics

Value: 15206 → 15207 → 15208

Parity: odd

Prime: No

Previous Prime: 15199

Next Prime: 15217

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 137

Divisors: 1, 3, 37, 111, 137, 411, 5069, 15207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101101100111

Octal: 35547

Duodecimal: 8973

Hexadecimal: 3b67

Square: 231252849

Square Root: 123.31666554038834

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

Number A(n,k) of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, ..., j-k is member of a block >= b-1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A287641

Expansion of ∏_k>=1 ((1 + x^k) / (1 - x^3·k))^k. A285446

a(n) = ∑_i=0..n-1 ∑_j=0..i (i-j+1)^j. A103439

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of exp(-∑_j>0 sigma_k(j)*x^j/j) in powers of x. A294947

a(n) = ∑_{k = 1...n} binomial(k + 2^{n - k} - 1, k - 1). A323776

Terms of A110566 grouped. A112811

Number of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, j-2 is member of a block >= b-1. A275605

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood. A271604

a(n) is the sum of the Wieferich and Wall-Sun-Sun residues of prime(n). A339639

Sum of Gaussian binomial coefficients for q=17. A15207