Properties of the Number 9116

Nine Thousand One Hundred Sixteen

Basics

Value: 9115 → 9116 → 9117

Parity: even

Prime: No

Previous Prime: 9109

Next Prime: 9127

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 43 × 53

Divisors: 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110011100

Octal: 21634

Duodecimal: 5338

Hexadecimal: 239c

Square: 83101456

Square Root: 95.47774609824009

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

Strobogrammatic numbers: the same upside down. A787

a(n) = n*(5·n-3). A135706

Composite numbers k such that A075254(k) is a square. A386246

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317429

Number of compositions (ordered partitions) of n into powers of 4. A87221

Numbers that are the same upside down (using only digits 0, 1, 6 and 9). A169731

G.f. satisfies A(x) = 1 + x·A(x)*f(x)³, where f(x) = ∑_k>=0 x^{(4^k-1}/3). A87222

Numbers without digit 0 or 5 whose "waterfall sequence" ends in 0,0,0,... A210614

Number of Carlitz compositions c of n such that the sequence of ascents and descents of c forms a Dyck path. A304778

Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m. A175356