Properties of the Number 17842

Seventeen Thousand Eight Hundred Forty-Two

Basics

Value: 17841 → 17842 → 17843

Parity: even

Prime: No

Previous Prime: 17839

Next Prime: 17851

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 × 811

Divisors: 1, 2, 11, 22, 811, 1622, 8921, 17842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110110010

Octal: 42662

Duodecimal: A3AA

Hexadecimal: 45b2

Square: 318336964

Square Root: 133.5739495560418

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

G.f. A(x) = ∑_n=-oo..+oo xⁿ * (1 + xⁿ)^2·n. A260147

Number of integer partitions of n having no permutation with all equal run-sums. A383096

Number of ordered pairs of disjoint strict integer partitions of n. A365662

Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (maximal part of p). A240311

Numbers k such that σ(k - 2) = σ(k + 2). A223091

Dirichlet self-convolution of the integer partition numbers A000041. A323764

Sum of the heights of all left factors of Dyck paths of length n. A132891

a(n) = 25·n²/2 - 11·n/2 + 1. A383465

a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ). A32767

Number of binary strings of length n with equal numbers of 00010 and 01100 substrings. A164218