Properties of the Number 9760

Nine Thousand Seven Hundred Sixty

Basics

Value: 9759 → 9760 → 9761

Parity: even

Prime: No

Previous Prime: 9749

Next Prime: 9767

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 61

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100000

Octal: 23040

Duodecimal: 5794

Hexadecimal: 2620

Square: 95257600

Square Root: 98.79271228182775

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

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

a(n) = (n+1)*F(n), F(n) = Fibonacci numbers A000045. A99920

Numbers which can be expressed as the product of a number and its reversal in at least two different ways. A66531

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302367

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302889

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303084

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303624

Two-column table read by rows: Primitive distinct pairs that have the same value of φ, σ, and τ. A322688

T(n,k)=Number of nXk 0..5 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero. A230730

G.f.: ∑_k>=0 q(k)² * x^k / ∑_k>=0 q(k)*x^k, where q(n) is A000009(n). A304877