Properties of the Number 90053

Ninety Thousand Fifty-Three

Basics

Value: 90052 → 90053 → 90054

Parity: odd

Prime: Yes

Previous Prime: 90031

Next Prime: 90059

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 90053

Divisors: 1, 90053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111000101

Octal: 257705

Duodecimal: 44145

Hexadecimal: 15fc5

Square: 8109542809

Square Root: 300.08832033253145

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

Genocchi numbers (of first kind); unsigned coefficients give expansion of x·tan(x/2). A1469

a(n) = 1 if the integer multiple of φ nearest n is greater than n, otherwise 0, where φ = (1+sqrt(5))/2. A78588

Lexicographically least increasing sequence, starting with 1, such that the sum of 2 distinct terms is never a Fibonacci number. A5652

Lexicographically least increasing sequence, starting with 2, such that the sum of two distinct terms of the sequence is never a Fibonacci number. A5653

Number of self-complementary graphs with n nodes. A171

Indices n such that sign(Im(zetazero(n)) - 2*π*e·exp(LambertW((n - 11/8)/e))) = -1. A282897

Numbers divisible by the number formed when their digits are sorted in ascending order, excluding trivial cases. A90053

a(n) = number of different ways to seat a set of n married male-female couples at a round table so that men and women alternate and every man is separated by at least d = 2 men from his wife. A267060

First set of a unique partition of the positive integers into two sets whose distinct pair-sums avoid the Lucas numbers. A378594

Second set of a unique partition of the positive integers into two sets whose distinct pair-sums avoid the Lucas numbers. A378595