Properties of the Number 17882

Seventeen Thousand Eight Hundred Eighty-Two

Basics

Value: 17881 → 17882 → 17883

Parity: even

Prime: No

Previous Prime: 17881

Next Prime: 17891

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 8941

Divisors: 1, 2, 8941, 17882

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111011010

Octal: 42732

Duodecimal: A422

Hexadecimal: 45da

Square: 319765924

Square Root: 133.7235955244997

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

Coordination sequence for root lattice B₃. A22145

Number of partitions of n into two sorts of parts having exactly 2 parts of the second sort. A258472

Starting positions of strings of three 2's in the decimal expansion of π. A83606

Multiplicity of highest weight (or singular) vectors associated with character chi₃₄ of Monster module. A34422

Number of partitions of n not containing 4*(number of parts) as a part. A238492

Number of free linear midpoint-free polycubes of size n, identifying rotations and reflections. A368032

Expansion of 1/(1-x⁹-x¹⁰-x¹¹-x¹²-x¹³-x¹⁴-x¹⁵). A17882

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)^3·n)ⁿ⁺¹ for n >= 0. A360336

Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise. A236518

a(n) is the Frobenius number for the set { binomial(m,k), k=1..m-1 } where m = A024619(n). A389479