Properties of the Number 17007

Seventeen Thousand Seven

Basics

Value: 17006 → 17007 → 17008

Parity: odd

Prime: No

Previous Prime: 16993

Next Prime: 17011

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5669

Divisors: 1, 3, 5669, 17007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001101111

Octal: 41157

Duodecimal: 9A13

Hexadecimal: 426f

Square: 289238049

Square Root: 130.41088911590165

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

2-Bell numbers: a(n) = number of partitions of [n+1] with a distinguished block. A5493

Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1). A11971

Triangle of numbers a(n,k), 0 <= k <= n: number of set partitions of {1,2,...,n} in which exactly k of the blocks have been distinguished. A49020

Difference array of Bell numbers A000110 read by antidiagonals. A106436

Number T(n,k) of blocks of size >= k in all set partitions of [n], assuming that every set partition contains one block of size zero; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A283424

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219915

Array, read by antidiagonals, where A(n,k) = exp(-1)*∑_i>=0 (i+k)ⁿ/i!. A108087

Triangle read by rows: Aitken's array (A011971) but with a leading diagonal before it given by the Bell numbers (A000110), 1, 1, 2, 5, 15, 52, ... A95149

Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's. A49355

Number of embedded coalitions in an n-person game. A138378