Properties of the Number 30884

Thirty Thousand Eight Hundred Eighty-Four

Basics

Value: 30883 → 30884 → 30885

Parity: even

Prime: No

Previous Prime: 30881

Next Prime: 30893

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1103

Divisors: 1, 2, 4, 7, 14, 28, 1103, 2206, 4412, 7721

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100010100100

Octal: 74244

Duodecimal: 15A58

Hexadecimal: 78a4

Square: 953821456

Square Root: 175.73844200970942

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

Expansion of (1/x) * Series_Reversion( x * (1 - x/(1 - x))⁴ ). A378610

a(n) = ∑_k=0..n 2^n-k * binomial(n+2,k+2) * binomial(2·k+4,k+4). A387272

Thickened pyramidal numbers: a(n) = 2*(n+1)*n + ∑_i=1..n (4·i*(i-1) + 1). A50533

Main diagonal of triangle A097094; g.f. A(x) satisfies A(x)/(1-x-x²) = A(x²)²/(1-x-x³)². A97095

Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4·n points placed on the sides of a square when every pair of the 4 + 4·n points are connected by a circle and where the points lie at the ends of the circle's diameter. A373109

G.f.: limit of the ratio of the g.f.s of adjacent rows in triangle A152800. A152803

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having directed index change 0,0 0,1 1,0 -1,0 or 0,-2. A264219

[ exp(16/17)*n! ]. A30884