Properties of the Number 9930

Nine Thousand Nine Hundred Thirty

Basics

Value: 9929 → 9930 → 9931

Parity: even

Prime: No

Previous Prime: 9929

Next Prime: 9931

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 331

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 331, 662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011001010

Octal: 23312

Duodecimal: 58B6

Hexadecimal: 26ca

Square: 98604900

Square Root: 99.6493853468249

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

Total number of runs in all heapable permutations of length n. A386382

Number of partitions p of n such that (number of numbers in p of form 3k+1) < (number of numbers in p of form 3k+2). A241737

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order; triangle T(n,k), n>=0, min(j:A001787(j)>=n)<=k<=n, read by rows. A326914

Sum of the smallest parts in the partitions of n into 6 parts. A308868

Number of partitions of n such that the least part occurs exactly five times. A97093

Number of partitions of n in which any two parts differ by at most 6. A218508

Nonnegative k such that 3·k + 1 is a perfect cube. A121628

a(n) = floor(n³/3). A131476

Potential magic constants of 8 X 8 magic squares composed of consecutive primes. A189188

Number of squares of all sizes in 3·n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds. A258440