Properties of the Number 13037

Thirteen Thousand Thirty-Seven

Basics

Value: 13036 → 13037 → 13038

Parity: odd

Prime: Yes

Previous Prime: 13033

Next Prime: 13043

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13037

Divisors: 1, 13037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001011101101

Octal: 31355

Duodecimal: 7665

Hexadecimal: 32ed

Square: 169963369

Square Root: 114.17968295629481

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

Cyclops primes. A134809

Primes such that the sum of the predecessor and successor primes is divisible by 41. A113157

Primes p such that p-3 and p+3 are divisible by a cube. A89201

a(n) = ∑_i=1..n (-1)ⁱ⁺¹ prime(i)², where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes. A240860

a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + ∑_j=1..2^m a(j). A139485

Primes congruent to 40 mod 41. A142237

Primes congruent to 18 mod 47. A142369

Primes congruent to 3 mod 49. A142416

Primes congruent to 52 mod 53. A142582