Properties of the Number 37489

Thirty-Seven Thousand Four Hundred Eighty-Nine

Basics

Value: 37488 → 37489 → 37490

Parity: odd

Prime: Yes

Previous Prime: 37483

Next Prime: 37493

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 37489

Divisors: 1, 37489

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001110001

Octal: 111161

Duodecimal: 19841

Hexadecimal: 9271

Square: 1405425121

Square Root: 193.62076334938874

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

Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit. A215419

Primes of form n² + 625. A256777

Numbers whose least quadratic nonresidue (A020649) is 19. A25027

Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1. A112078

Primes with 19 as smallest positive primitive root. A61331

Smallest prime p such that p# + Mersenne-prime(n) is prime. A98567

G.f. (4·x+3)/(2*(x+1))*(1+1/sqrt(-4·x⁴-4·x³+1)). A247169

Primes p such that the maximal length of a nontrivial N(p)-Hensley sequence mod p is less than the value of A124882 for that prime, where N(p) is the least positive quadratic non-residue mod p. A261405

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15. A31603

The smaller member prime(i) of an emirp pair (prime(i),prime(j)), such that the digit sum of i equals the digit sum of j. A178613