Properties of the Number 12037

Twelve Thousand Thirty-Seven

Basics

Value: 12036 → 12037 → 12038

Parity: odd

Prime: Yes

Previous Prime: 12011

Next Prime: 12041

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 12037

Divisors: 1, 12037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111100000101

Octal: 27405

Duodecimal: 6B71

Hexadecimal: 2f05

Square: 144889369

Square Root: 109.71326264403953

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

Cyclops primes. A134809

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426]. A78850

Primes of form n² + 6561. A256837

Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223. A52164

Mother primes of order 8. A136067

Where the prime race among 10k+1, ..., 10k+9 changes leader. A297408

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222635

Primes p such that x⁵⁹ = 2 has no solution mod p. A59312

a(1) = 1, a(n) = the smallest prime divisor of A138793(n). A138962

Primes congruent to 1 mod 59. A216315