Properties of the Number 37147

Thirty-Seven Thousand One Hundred Forty-Seven

Basics

Value: 37146 → 37147 → 37148

Parity: odd

Prime: No

Previous Prime: 37139

Next Prime: 37159

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 ² × 307

Divisors: 1, 11, 121, 307, 3377, 37147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100011011

Octal: 110433

Duodecimal: 195B7

Hexadecimal: 911b

Square: 1379899609

Square Root: 192.73557014728755

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

a(n) = σ(A003961(n²)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1), and σ is the sum of divisors function. A379482

Number of ways you can split the set of the first n primes into two proper subsets of which the sum of one is thrice the sum of the other. A113044

Number of partitions p of n such that (number of parts of p) - min(p) is not a part of p. A238548

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 0100-0100-1111-0100 pattern in any orientation. A147038

Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 0100-0100-1111-0100 pattern in any orientation. A147040

Square array A(n, k) = σ((2n-1)²) * σ((2k-1)²), read by antidiagonals. A379220

Denominators of Fourier coefficients of Eisenstein series of degree 2 and weight 10 when evaluated at Gram(A₂)*z. A37147

Sum of the iterates of A058026 up to and including either 0 or 1. A241667