Properties of the Number 22004

Twenty-Two Thousand Four

Basics

Value: 22003 → 22004 → 22005

Parity: even

Prime: No

Previous Prime: 22003

Next Prime: 22013

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5501

Divisors: 1, 2, 4, 5501, 11002, 22004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010111110100

Octal: 52764

Duodecimal: 10898

Hexadecimal: 55f4

Square: 484176016

Square Root: 148.33745312630927

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) = ∑_k=0..n binomial(4·k,n-k) * Catalan(k). A360082

Indices n such that A134204(n) < n. A133242

a(n) = ∑_i=1..n σ(i)*σ(i+1), where σ(n) = A000203(n) is the sum of the divisors of n. A330322

Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 3. A244457

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 454", based on the 5-celled von Neumann neighborhood. A272278

Initial members of prime triples (p, p+2, p+6). A22004

Number of permutations of [n] with exactly 3 descents which avoid the pattern 4321. A95889