Properties of the Number 30304

Thirty Thousand Three Hundred Four

Basics

Value: 30303 → 30304 → 30305

Parity: even

Prime: No

Previous Prime: 30293

Next Prime: 30307

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 947

Divisors: 1, 2, 4, 8, 16, 32, 947, 1894, 3788, 7576

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011001100000

Octal: 73140

Duodecimal: 15654

Hexadecimal: 7660

Square: 918332416

Square Root: 174.08044117591155

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

Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1). A11971

Number of one-element transitions from the partitions of n to the partitions of n+1 for labeled parts. A93694

Sum over all partitions of n of the LCM of the parts. A181844

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230910

a(n) = S1(n,4), where S1(n,t) = ∑_k=0..n k^t * ∑_j=0..k binomial(n,j). A89661

Apply (1+Shift)² to Bell numbers. A11969

Mirror image of the Bell triangle A011971, which is also called the Pierce triangle or Aitken's array. A123346

E.g.f. A(x) satisfies A(x) = exp( x * (1-x²) * A(x) ). A390013

Sequence formed by reading rows of triangle defined in A011971. A11972

Numbers k such that A322582(k) <= A276086(k) <= A348507(k). A392602