Properties of the Number 9166

Nine Thousand One Hundred Sixty-Six

Basics

Value: 9165 → 9166 → 9167

Parity: even

Prime: No

Previous Prime: 9161

Next Prime: 9173

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 4583

Divisors: 1, 2, 4583, 9166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111001110

Octal: 21716

Duodecimal: 537A

Hexadecimal: 23ce

Square: 84015556

Square Root: 95.73922915921143

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

G.f. A(x) satisfies: A(x) = 1 + x·A(x/(1 - x)⁴) / (1 - x)⁴. A351817

Expansion of sum ( qⁿ / product( 1-q^k, k=1..3·n), n=0..inf ). A35295

Third entry in row n of triangle in A169945. A169947

Number of integer partitions of n of length > 2 whose second differences have median 0. A360682

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A162661. A384651

Numbers n with property that n² is a sum of some 70 successive primes. A166256

G.f.: A(x) = 1/(1 - 2·x - 7·x² - 2·x³ + x⁴). A166989

G.f. satisfies A(x) = ( 1 + x·A(x)^5/2 / (1 - x) )². A371583

Number of rooted trees with leaves of 2 colors where any 2 subtrees extending from the same node have a different number of nodes. A32306

Number of n element 0..2 arrays with each element the minimum of 7 adjacent elements of a random 0..2 array of n+6 elements. A217882