Properties of the Number 89167

Eighty-Nine Thousand One Hundred Sixty-Seven

Basics

Value: 89166 → 89167 → 89168

Parity: odd

Prime: No

Previous Prime: 89153

Next Prime: 89189

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 13 × 19 ³

Divisors: 1, 13, 19, 247, 361, 4693, 6859, 89167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110001001111

Octal: 256117

Duodecimal: 43727

Hexadecimal: 15c4f

Square: 7950753889

Square Root: 298.60843926453254

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 subsets of {1,2,...,n-8} without differences equal to 4 or 8. A224815

Composite numbers whose exponents in their canonical factorization lie in the geometric progression 1, 3, 9, ... A102838

Expansion of g.f. (1-6·x)/(1-19·x). A196665

Positive numbers b such that a + b + c = d are abcd quadruples in the "abcd-conjecture" with a < b < c < d, all |a|, b, c, d are pairwise coprime, the quality q of the quadruple has q > 1, term a = +/- 1 = A376149(n) and term c = A376143(n). Quadruples are sorted by c then b. A376144

Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y>=3z. A212519

Numbers k such that k | 11^k + 10^k + 9^k + 8^k. A57240

Primeshift array for primegap shift: Square array read by antidiagonals: A(1,col) = 3·col, and for row > 1, A(row,col) = A389084(A(row-1,col)). A389086

Smallest number m that is coprime to n and such that the arithmetic progression (n+k·m:k>0) contains no primes for values not greater than n²; a(1)=1. A89167