Properties of the Number 16952

Sixteen Thousand Nine Hundred Fifty-Two

Basics

Value: 16951 → 16952 → 16953

Parity: even

Prime: No

Previous Prime: 16943

Next Prime: 16963

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 13 × 163

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 163, 326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000111000

Octal: 41070

Duodecimal: 9988

Hexadecimal: 4238

Square: 287370304

Square Root: 130.19984639007836

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 partitions of 1 into n powers of 1/2; or (according to one definition of "binary") the number of binary rooted trees. A2572

Number of diagonal rectangles with corners on an n X n grid of points. A113751

a(n) = 25·n² + 2·n. A154377

G.f.: ∏_m>0 (1 + x^m + 2!*x^2·m + 3!*x^3·m). A289485

First differences of A161340. A161341

Irregular triangle read by rows: T(n,k) is the number of permutations in S_n having k stretching pairs. A216120

a(n) = B(n)*P(n), where B(n) are Bell numbers (A000110) and P(n) are numbers of arrangements of a set of n elements (A000522). A64312

a(n) = (9·n⁴+10·n³-3·n²-4·n)/12. A172045

Number of (n+2)X(7+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A253024

Erroneous version of A002572. A1180