Properties of the Number 9945

Nine Thousand Nine Hundred Forty-Five

Basics

Value: 9944 → 9945 → 9946

Parity: odd

Prime: No

Previous Prime: 9941

Next Prime: 9949

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 17

Divisors: 1, 3, 5, 9, 13, 15, 17, 39, 45, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011011001

Octal: 23331

Duodecimal: 5909

Hexadecimal: 26d9

Square: 98903025

Square Root: 99.72462083156798

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

Number of polynomial symmetric functions of matrix of order n under separate row and column permutations. A7716

Quartic (or 4-fold) factorial numbers: a(n) = ∏_{k = 0..n-1} (4·k + 1). A7696

Quadruple factorial numbers n!!!!: a(n) = n·a(n-4). A7662

Triangle read by rows, the Bell transform of the quartic factorial numbers A007696(n+1) without column 0. A49029

Array read by antidiagonals upwards where A(n, k) is the number of non-isomorphic multiset partitions of weight n with k levels of brackets. A306186

Numbers k such that σ(k) = σ(k+7). A15867

Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet such that all k letters occur at least once in the set; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A319501

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Numbers without comma-successors: these are the numbers k such that if the commas sequence A121805 is started at k instead of 1, there is no second term. A367341

Number of functions f: {1,2,...,n} -> {1,2,...,n} with even cycles only. A60435