Properties of the Number 17213

Seventeen Thousand Two Hundred Thirteen

Basics

Value: 17212 → 17213 → 17214

Parity: odd

Prime: No

Previous Prime: 17209

Next Prime: 17231

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 2459

Divisors: 1, 7, 2459, 17213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001100111101

Octal: 41475

Duodecimal: 9B65

Hexadecimal: 433d

Square: 296287369

Square Root: 131.19832316001603

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 of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value. A214540

Number of Schroeder paths of semilength n in which there are no (2,0)-steps at level 1. A224071

Expansion of ∏_k>=1 (1 - p(k)*x^k), where p(k) = number of partitions of k (A000041). A304785

Number of Pierpont primes less than 10^2ⁿ. A113412

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 478", based on the 5-celled von Neumann neighborhood. A272453

Expansion of 1 / (1 - ∑_{i>=1, j>=1} x^{i*(j + 1})). A327798

Number of asymmetric types of (3,n)-hypergraphs without isolated nodes, under action of symmetric group S₃; asymmetric n-covers of an unlabeled 3-set. A55538

Related to numbers of equicolorable trees (see Pippenger article for definition). A119853

Number of nXnXn triangular 0..2 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value. A214534