Properties of the Number 37271

Thirty-Seven Thousand Two Hundred Seventy-One

Basics

Value: 37270 → 37271 → 37272

Parity: odd

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 47 × 61

Divisors: 1, 13, 47, 61, 611, 793, 2867, 37271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110010111

Octal: 110627

Duodecimal: 1969B

Hexadecimal: 9197

Square: 1389127441

Square Root: 193.05698640556886

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

Smallest number > 1 equal to sum of n-th powers of its base-7 digits, or 0 if no such number exists (written in base 10). A33839

Base 7 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-7 digits, for some k. A162228

Numbers n such that m=(n²+1)/2, p=(m²+1)/2 and q=(p²+1)/2 are all prime. A188546

Numbers such that the sequence of all possible sums of divisors of n is increasing but not strictly so, the sums being ordered by their characteristic functions, seen as binary numbers (see example). A230492

Numbers k satisfying gcd(k², σ(k²)) > σ(k), where σ is the sum-of-divisors function. A322154

a(n) = ∑_d∣n prime(n/d)^d. A309368

Number of steps to reach a prime under "replace n with concatenation of its prime factors" when applied to n-th composite number, or -1 if no such number exists. A37271

Number of (n+2) X 5 0..3 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186875