Properties of the Number 90787

Ninety Thousand Seven Hundred Eighty-Seven

Basics

Value: 90786 → 90787 → 90788

Parity: odd

Prime: Yes

Previous Prime: 90749

Next Prime: 90793

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 90787

Divisors: 1, 90787

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110001010100011

Octal: 261243

Duodecimal: 44657

Hexadecimal: 162a3

Square: 8242279369

Square Root: 301.30881168661494

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

Largest squarefree number k such that Q(sqrt(-k)) has class number n. A38552

Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1. A2149

Greatest number, not divisible by 4, having exactly n partitions into three positive squares. A95812

Greatest number, not divisible by 4, having exactly n partitions into three squares. A95811

Largest number k such that C(-k) is the cyclic group of order n, where C(D) is the class group of the quadratic field with discriminant D; or 0 if no such k exists. A357600

a(n) is the smallest prime q such that Kronecker(q, prime(n)) = 1. A306530

Number of ways to get n by evaluating 1 (+ or *) 2 (+ or *) 3 ... (+ or *) m for some positive integer m. No parentheses are allowed and the usual order of precedence (* before +) is followed. A90787

a(j) = maximum value of n for each distinct increasing value of (Sum of the quadratic non-residues of prime(n) - Sum of the quadratic residues of prime(n)) / prime(n) for each j. A166263

For imaginary fundamental discriminants -d, define b(-d) to be the smallest prime p such that Kronecker(-d,p) = 1. Sequence gives d such that b(-d)³ > d/4 > b(-d)². A330162