Properties of the Number 9621

Nine Thousand Six Hundred Twenty-One

Basics

Value: 9620 → 9621 → 9622

Parity: odd

Prime: No

Previous Prime: 9619

Next Prime: 9623

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1069

Divisors: 1, 3, 9, 1069, 3207, 9621

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110010101

Octal: 22625

Duodecimal: 5699

Hexadecimal: 2595

Square: 92563641

Square Root: 98.08669634563088

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

G.f. A(x) satisfies: A(x) = A(x² + x³) / x. A350432

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally. A251292

a(n) = ∑_{i+j=n, i,j >= 1} τ(i)*σ(j), where τ() = A000005(), σ() = A000203(). A191831

Number of irreducible positions of size n in Montreal solitaire. A7050

a(n) = ∑_i=0..n digsum(i)³, where digsum(i) = A007953(i). A231688

Arrange digits of squares in descending order. A28908

Arrange digits of cubes in descending order. A32554

Least non-partition into positive n-th powers. A27609

a(n) = ∑_k=1..n φ(k) * (floor(n/k)³ - floor((n-1)/k)³). A344599

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones. A31812