Properties of the Number 9904

Nine Thousand Nine Hundred Four

Basics

Value: 9903 → 9904 → 9905

Parity: even

Prime: No

Previous Prime: 9901

Next Prime: 9907

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 619

Divisors: 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011010110000

Octal: 23260

Duodecimal: 5894

Hexadecimal: 26b0

Square: 98089216

Square Root: 99.51884243699783

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 overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. A190071

a(n) = ∑_k=1..n-1 k⁷ * σ(k) * σ(n-k). A259695

Expansion of 1 / ∑_n=-oo..oo x^n². A4402

Triangle read by rows: T(n,k) is the number of rooted ordered trees with node weights summing to n, where the root has weight 0, non-root node weights are in {1,..,k}, and no nodes have the same weight as their parent node. A384747

Expansion of 1 / ∏_n>=0 (1 - q⁵ⁿ⁺¹)*(1 - q⁵ⁿ⁺²)*(1 - q⁵ⁿ⁺⁴). A107235

Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition). A256534

Row 4 in rectangular array A292929. A294067

Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 2 and repeat; as m = 1,2,3,.. the remaining terms form this sequence. A112560

Fibonacci sequence beginning 2, 15. A22117