Properties of the Number 29166

Twenty-Nine Thousand One Hundred Sixty-Six

Basics

Value: 29165 → 29166 → 29167

Parity: even

Prime: No

Previous Prime: 29153

Next Prime: 29167

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 4861

Divisors: 1, 2, 3, 6, 4861, 9722, 14583, 29166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000111101110

Octal: 70756

Duodecimal: 14A66

Hexadecimal: 71ee

Square: 850655556

Square Root: 170.78056095469412

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 integer partitions of n whose run-lengths are not unimodal. A332281

Numbers k such that 5·6^k - 1 is prime. A79906

Number of partitions p of n such that median(p) >= multiplicity(max(p)). A240211

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape V; triangle T(n,k), n>=0, 0<=k<=max(0,n-2+delta_n,3), read by rows. A247709

Minimum value of the cyclic autocorrelation of first n primes. A299053

Triangle defined by g.f. A(x,y) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n, k)^k+1 * y^k ), as read by rows. A228899

Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260291

Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260292

Decimal expansion of inf{f(n,1)}, where f(1,x) = x + 1 and thereafter f(n,x) = x + 1 if n is in A001951, else f(n,x) = 1/x. A245217

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260294