Properties of the Number 37287

Thirty-Seven Thousand Two Hundred Eighty-Seven

Basics

Value: 37286 → 37287 → 37288

Parity: odd

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1381

Divisors: 1, 3, 9, 27, 1381, 4143, 12429, 37287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000110100111

Octal: 110647

Duodecimal: 196B3

Hexadecimal: 91a7

Square: 1390320369

Square Root: 193.09842050104916

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) = n³ + 73·n² + n + 67. A163303

Odd numbers k such that A173557(k) = A173557(σ(k)), where A173557(n) is multiplicative with a(p^e) = p-1 and σ is the sum of divisors function. A387159

O.g.f. satisfies A(x/(1-x)) = 1/(1-x·A(x)-x²*A(x)²). A184936

Numbers k such that (782·10^k - 71)/9 is prime. A288483

Let z be a sequence of distinct Gaussian integers such that z(1) = 0, z(2) = 2+i (where i denotes the imaginary unit), for n > 1, z(n+1) the Gaussian integer with least norm at one knight move from z(n) (in case of a tie, choose the value such that Im(z(n+1)/z(n))>0); a(n) is the real part of z(n). A326170

Replace 2n+1 with concatenation of its divisors >1. A37287