Properties of the Number 19568

Nineteen Thousand Five Hundred Sixty-Eight

Basics

Value: 19567 → 19568 → 19569

Parity: even

Prime: No

Previous Prime: 19559

Next Prime: 19571

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 1223

Divisors: 1, 2, 4, 8, 16, 1223, 2446, 4892, 9784, 19568

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110001110000

Octal: 46160

Duodecimal: B3A8

Hexadecimal: 4c70

Square: 382906624

Square Root: 139.88566760036568

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 integer partitions of n such that neither the run-lengths nor the negated run-lengths are unimodal. A332640

T(n,k) is the number of n-step one or two collinear space at a time queen's tours on a k X k board summed over all starting positions. A187027

Sum of terms in level n of TRIP - Stern sequence associated with permutation triple (e,13,23). A278615

Expansion of ∏_k>=1 (1-x^3·k-1)^3·k-1 * (1-x^3·k-2)^3·k-2. A285247

Largest number k that is not the sum of 3 squares and a nonnegative (2n+5)-th power. A299796

Triangle read by rows: T(n,k) is the number of series-reduced rooted trees whose leaves are sets of colors with a total of n elements using exactly k colors. A330763

G.f. A(x) satisfies: [xⁿ] (1+x)⁽ⁿ⁺¹³) / A(x) = 0 for n>0. A304398

Numbers whose binary expansion consists of alternating runs of 1's and 0's where each run of 0's is exactly one longer than the preceding run of 1's, and the expansion ends with a 0-run. A387269

Number of 4-step one or two collinear space at a time queen's tours on an n X n board summed over all starting positions. A187029

a(n) = 3·a(n-1) - 2·a(n-2) + 5·a(n-3) starting with 1, 2, 3. A383873