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Properties of the Number 90931

Ninety Thousand Nine Hundred Thirty-One

Basics

Value: 90930 → 90931 → 90932

Parity: odd

Prime: Yes

Previous Prime: 90917

Next Prime: 90947

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 90931

Divisors: 1, 90931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110001100110011

Octal: 261463

Duodecimal: 44757

Hexadecimal: 16333

Square: 8268446761

Square Root: 301.5476745060389

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

Smallest prime p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2). A96636
Values of odd prime numbers, D, for incrementally largest values of minimal·satisfying the equation x2 - D·y2 = -2. A336790
Values of odd prime numbers, D, for incrementally largest values of minimal positive y satisfying the equation x2 - D·y2 = -2. A336792
Fourth term of weak prime sextet: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1). A54831
Smallest prime p == 3 mod 8 (A007520) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2). A96638
Smallest number k such that the continued fraction expansion of sqrt(k) contains n distinct numbers. A187142
Primes of the form kk·k+k+1, where kk is the concatenation of k with itself. A222962
Value of prime number D for incrementally largest values of minimal·satisfying the equation x2 - D·y2 = 6. A341087
Indices of records in A028832. A374232
Number of permutations of 1,...,2n with alternate odd/even entries that have no adjacent members when placed in a circle. A90931