Properties of the Number 27568

Twenty-Seven Thousand Five Hundred Sixty-Eight

Basics

Value: 27567 → 27568 → 27569

Parity: even

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 1723

Divisors: 1, 2, 4, 8, 16, 1723, 3446, 6892, 13784, 27568

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110110000

Octal: 65660

Duodecimal: 13B54

Hexadecimal: 6bb0

Square: 759994624

Square Root: 166.03614064413807

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 T(n,k) of entries in the k-th cycles of all permutations of [n] when cycles are ordered by decreasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A322384

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844

Diagonal sums of number array A082105. A82107

Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of the g.f. (A233531) such that column 0 consists of all zeros after row 1. A233530

Third column of triangle A233530. A233533

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-2·x)/(1 + x)² ). A380646

Triangle read by rows: T(n,1) = 1, T(n,k) = T(n-1,k)+(n-1)*T(n-1,k-1) for 1<=k<=n+1. A96747

Triangle read by rows: T(n,1)=1, T(n,k) = T(n-1,k) + (n-1)T(n-1, k-1) for 1 <= k <= n. A109822

a(n) = 2·a(n-1) + 10·a(n-2), with a(0) = 2 and a(1) = 2. A127261

E.g.f.: S(x,q) = Integral C(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where S(x,q) = ∑_n>=0 ∑_{k=0..n*(n+1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322219