Properties of the Number 37091

Thirty-Seven Thousand Ninety-One

Basics

Value: 37090 → 37091 → 37092

Parity: odd

Prime: No

Previous Prime: 37087

Next Prime: 37097

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 29 × 1279

Divisors: 1, 29, 1279, 37091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001000011100011

Octal: 110343

Duodecimal: 1956B

Hexadecimal: 90e3

Square: 1375742281

Square Root: 192.59023858960245

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

MM-numbers of crossing, capturing multiset partitions (with empty parts allowed). A326259

Least number having exactly two odd prime factors that differ by 2·n². A190052

a(n) = A216951(n)/2. A216952

G.f. satisfies A(x) = exp( ∑_k>=1 ((-2)^k + A(x^k)) * x^k/k ). A363578

Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5). A39849

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (-1, 1, 1), (0, 0, 1), (1, 0, -1)}. A148185

Lexicographically earliest strictly increasing base 3 autovarious sequence: a(n) = number of distinct a(k) mod 3ⁿ (written in base 3). A37091