Properties of the Number 90165

Ninety Thousand One Hundred Sixty-Five

Basics

Value: 90164 → 90165 → 90166

Parity: odd

Prime: No

Previous Prime: 90163

Next Prime: 90173

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 6011

Divisors: 1, 3, 5, 15, 6011, 18033, 30055, 90165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000110101

Octal: 260065

Duodecimal: 44219

Hexadecimal: 16035

Square: 8129727225

Square Root: 300.2748740737393

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 integers m <= 2ⁿ such that d(m) = 2^k for some k = 0, 1, 2, 3, ... A36538

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array. A219293

Number of nX5 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order. A240646

T(n,k)=Number of nXk 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order. A240649

Number of leftist trees with n leaves. A6196

G.f.: 1 / (1 - ∑_k>=1 k^k * x^k ). A277610

Number of configurations of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square at one of the 8 non-corner boundary squares. A90165