Properties of the Number 3037

Three Thousand Thirty-Seven

Basics

Value: 3036 → 3037 → 3038

Parity: odd

Prime: Yes

Previous Prime: 3023

Next Prime: 3041

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 3037

Divisors: 1, 3037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111011101

Octal: 5735

Duodecimal: 1911

Hexadecimal: bdd

Square: 9223369

Square Root: 55.10898293381942

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

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6·k*(k-1) + 1. A3154

Primes whose decimal representation is a valid number in base 9 and interpreted as such is again a prime. A235395

Primes whose base-3 representation also is the base-2 representation of a prime. A235265

Concentric hexagonal numbers: floor(3·n²/2). A32528

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338. A146360

Primes with first digit 3. A45709

Number of reduced words of length n in the Weyl group B₆. A161699

Primes of the form p(k)² + q(m)² with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009). A233346

Primes p such that x²³ = 2 has no solution mod p. A40984

Primes congruent to 3 mod 41. A142200