Properties of the Number 94080

Ninety-Four Thousand Eighty

Basics

Value: 94079 → 94080 → 94081

Parity: even

Prime: No

Previous Prime: 94079

Next Prime: 94099

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 5 × 7 ²

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110111110000000

Octal: 267600

Duodecimal: 46540

Hexadecimal: 16f80

Square: 8851046400

Square Root: 306.724632202893

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

Consider the e.g.f. C(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k+1 * y^2·k+1 / (2·n+2)! and related functions A(x,y) and B(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of C(x,y). A326799

Triangle read by rows: T(n,k) is the number of subpermutations of an n-set, whose orbits are each of size at most k with at least one orbit of size exactly k, and without fixed points. Equivalently, T(n,k) is the number of partial derangements of an n-set each of whose orbits is of size at most k with at least one orbit of size exactly k, and without fixed points. A261765

A(n,k) = ∑_j=0..n (k·n)!/(j! * (n-j)!)^k, square array A(n,k) read by antidiagonals, for n >= 0, k >= 0. A306641

The following triangle contains n smallest numbers with the prime signature of n!. Sequence contains the triangle by rows. A111467

Triangle read by rows, T(n, k) = 4ⁿ*[x^k]hypergeometric([3/2, -n], [3], -x), n>=0, 0<=k<=n. A254632

p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = (1 - 2 S)². A291732

a(n) = ∑_k=0..n (3·n)!/(k! * (n-k)!)³. A306642

a(n) = ∑_k=0..n (n²)!/(k! * (n-k)!)ⁿ. A306644

Sum of the non-unitary divisors of A064115(n) (or of 1+A064115(n)). A103846

Triangular sequence of coefficients from the expansion of the derivative of the Bernoulli polynomial function: p(x,t) = t·exp(x·t)/(exp(t)-1); q(x,t) = p'(x,t) = dp(x,t)/dt. A137777