Properties of the Number 17906

Seventeen Thousand Nine Hundred Six

Basics

Value: 17905 → 17906 → 17907

Parity: even

Prime: No

Previous Prime: 17903

Next Prime: 17909

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 1279

Divisors: 1, 2, 7, 14, 1279, 2558, 8953, 17906

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111110010

Octal: 42762

Duodecimal: A442

Hexadecimal: 45f2

Square: 320624836

Square Root: 133.81330277666717

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 T(n,k) of sequences in {1,...,n}ⁿ with longest increasing subsequence of length k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A245667

Number of even-length integer partitions of n with integer alternating product. A347704

Constant term in the reduction of the polynomial (x+2)ⁿ by x³->x²+x+1. See Comments. A192801

Number of (w,x,y,z) with all terms in {1,...,n} and w³>=x³+y³+z³. A212100

Number of compositions (ordered partitions) of n such that some part is repeated consecutively 3 times and no part is repeated consecutively more than 3 times. A91617

Total sum of parts of multiplicity 7 in all partitions of n. A222735

Number of sequences in {1,...,n}ⁿ with longest increasing subsequence of length two. A268869

Interprimes which are of the form s·prime, s=14. A75289

The number of length n sequences on {0,1,2} such that there are an equal number of 0's and 1's or there are an equal number of 0's and 2's. A235320

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 126", based on the 5-celled von Neumann neighborhood. A270215