Properties of the Number 9600

Nine Thousand Six Hundred

Basics

Value: 9599 → 9600 → 9601

Parity: even

Prime: No

Previous Prime: 9587

Next Prime: 9601

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10010110000000

Octal: 22600

Duodecimal: 5680

Hexadecimal: 2580

Square: 92160000

Square Root: 97.97958971132712

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

a(n) = 6·n². A33581

Number of integer partitions of n not containing their mean. A327472

Numbers that are divisible by exactly 10 primes with multiplicity. A46314

Smallest number beginning with 9 and having exactly n prime divisors counted with multiplicity. A106429

Triangle read by rows: terms T(n,k) of a binomial decomposition of n*(n-1) as Sum(k=0..n)T(n,k). A244139

Numbers k such that A102489(k) is divisible by k. A32563

Triangle read by rows where T(n,k) is the number of labeled simple graphs with n vertices and vertex-connectivity k. A327334

Numbers k such that ∑_j p_j = ∑_j e_j where ∏_j p_j^e_j is the prime factorization of k. A54411

Triangle of f-vectors of the simplicial complexes dual to the permutohedra of type B_n. A145901

Number of seating arrangements of n couples around a round table (up to rotations) so that each person sits between two people of the opposite sex and no couple is seated together. A94047