Properties of the Number 22842

Twenty-Two Thousand Eight Hundred Forty-Two

Basics

Value: 22841 → 22842 → 22843

Parity: even

Prime: No

Previous Prime: 22817

Next Prime: 22853

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 47

Divisors: 1, 2, 3, 6, 9, 18, 27, 47, 54, 81

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100100111010

Octal: 54472

Duodecimal: 11276

Hexadecimal: 593a

Square: 521756964

Square Root: 151.13570061372

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

a(n) = exp(-1/3) * ∑_k>=0 (3·k - 1)ⁿ / (3^k * k!). A337039

Number of partitions of n into 7 or more distinct parts. A347574

a(n) = ∑_{k <= n/2} k·binomial(n-2k, 3k). A137359

Expansion of ∏_k>=1 (1-q^2·k)²/(1-q^k)⁷. A350643

Number of ways to place eight distinct positive integers on a square, four on the corners and four on the sides such that the sum of the three values on each side is n. A380962

Number of increasing sequences of n integers x(1),...,x(n) with values in 1..3·n such that x(j) divides x(k) if j divides k. A180385

Number of 4 X 4 X 4 triangular 0..n arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value. A215184

Number of permutations of [n] avoiding {2143, 3412, 1234}. A294709

Numbers k such that the sums (with multiplicity) of prime factors of k and k+1 are both squares. A359445

a(n) = b(n)*Integral_{x=0..1/(4ⁿ)} (1 - sqrt(x)) dx, where b(n) = 3·24ⁿ. A93801