Properties of the Number 8937

Eight Thousand Nine Hundred Thirty-Seven

Basics

Value: 8936 → 8937 → 8938

Parity: odd

Prime: No

Previous Prime: 8933

Next Prime: 8941

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 331

Divisors: 1, 3, 9, 27, 331, 993, 2979, 8937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001011101001

Octal: 21351

Duodecimal: 5209

Hexadecimal: 22e9

Square: 79869969

Square Root: 94.53570753953238

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

Indices of primes followed by a gap (distance to next larger prime) of 44. A320720

Smallest k for which k, 2k, ... nk all contain the digit 8. A39939

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251950

Numbers k such that 6 is the smallest decimal digit of k². A291631

Numbers k such that 6·k! + 1 is prime. A76682

Smallest number whose square has sum of digits A056991(n). A67179

Number of partitions of n such that the absolute value of the difference between the number of odd parts and the number of even parts is <=1. A239835

Sum of all the parts in the partitions of n into 6 parts. A308867

a(0) = 0, a(1) = 1, a(2·n) = n·a(2·n-1) + a(2·n-2), a(2·n+1) = a(2·n) + a(2·n-1). A56921

Square roots of A068809. A68947