Properties of the Number 9648

Nine Thousand Six Hundred Forty-Eight

Basics

Value: 9647 → 9648 → 9649

Parity: even

Prime: No

Previous Prime: 9643

Next Prime: 9649

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 67

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110110000

Octal: 22660

Duodecimal: 5700

Hexadecimal: 25b0

Square: 93083904

Square Root: 98.2242332624694

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240381

Products of form p⁴*q²*r where p, q and r are three distinct primes. A179669

Number of ways to write n as an ordered sum of 8 nonzero triangular numbers. A340953

Numbers divisible by at least four of their digits, different and >1. A187238

Numbers that are the sum of four positive cubes in exactly four ways. A343972

Triangle of coefficients T(n,k) in g.f. A(x,y) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + y·A(x,y))ⁿ = 1 + (y+2)*∑_n>=1 (-1)ⁿ * x^n², for n >= 1, as read by rows. A370040

Sum of the sizes of the tails below the Durfee squares of all partitions of n. A116365

G.f.: ∑_k>=0 q(k)³ * x^k / ∑_k>=0 q(k)*x^k, where q(n) is A000009(n). A304878

a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4). A26043

Column 2 of triangle A370040. A370152