Properties of the Number 17886

Seventeen Thousand Eight Hundred Eighty-Six

Basics

Value: 17885 → 17886 → 17887

Parity: even

Prime: No

Previous Prime: 17881

Next Prime: 17891

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 271

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 271, 542

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111011110

Octal: 42736

Duodecimal: A426

Hexadecimal: 45de

Square: 319908996

Square Root: 133.7385509118444

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 n having no parts equal to the size of their Durfee squares. A118199

(1/8) * number of ways to select 3 distinct points forming a triangle of unsigned area = 1 from a square of grid points with side length n. A320544

Numbers with multiplicative persistence value 6. A46515

Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p. A241552

a(n) = n*(n² + 12·n - 25)/6. A26057

Fourth right hand column of triangle A165674. A165676

a(n) is the number of terms in the expansion of (x+y-z)*(x²+y²-z²)*(x³+y³-z³)*...*(xⁿ+yⁿ-zⁿ). A86817

a(n) = A030068(4n+1). A169739

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [xⁿ] ∏_j=0..n (1 + (k·n+j)*x). A382347

Number of integers in n-th generation of tree T(1/3) defined in Comments. A274143