Properties of the Number 9955

Nine Thousand Nine Hundred Fifty-Five

Basics

Value: 9954 → 9955 → 9956

Parity: odd

Prime: No

Previous Prime: 9949

Next Prime: 9967

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 11 × 181

Divisors: 1, 5, 11, 55, 181, 905, 1991, 9955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011100011

Octal: 23343

Duodecimal: 5917

Hexadecimal: 26e3

Square: 99102025

Square Root: 99.77474630386187

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

Numbers m such that there are precisely 7 groups of order m. A249550

Numbers j in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number. A352135

Numbers k such that 2^k - 15 is prime. A59612

Pascal-(1,5,1) array. A81580

Partial sums of A053739. A53295

Diagonal in array of n-gonal numbers A081422. A81435

Expansion of g.f. (1/2)*( a*(1+x)ⁿ + b*(1-x)ⁿ⁺²*LerchPhi(x, -n-1, 1) + c·2ⁿ⁺¹*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2) ), where a = 1, b = -1, and c = 1, read by rows. A168551

T(n,k) = Number of (n·k) X k binary arrays with nonzero rows in decreasing order, no more than 3 ones in any row and exactly n ones in every column. A188449

Expansion of 3·q^1/3 * φ(q) * ψ(q⁶) / c(q) in powers of·where φ(), ψ() are Ramanujan θ functions and c() is a cubic AGM θ function. A233037

Numbers of the form p·q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385). A46405