Properties of the Number 37093

Thirty-Seven Thousand Ninety-Three

Basics

Value: 37092 → 37093 → 37094

Parity: odd

Prime: No

Previous Prime: 37087

Next Prime: 37097

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 757

Divisors: 1, 7, 49, 757, 5299, 37093

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011100101

Octal: 110345

Duodecimal: 19571

Hexadecimal: 90e5

Square: 1375890649

Square Root: 192.59543089076647

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 + (n+1)². A100705

Total number of parts which are positive powers of 2 in all partitions of n. A73119

G.f.: A(x) = 1 + ∑_n>=1 x^n² * ((1-x)ⁿ + 1/(1-x)ⁿ). A197707

Composite numbers whose prime factors contain no digits other than 5 and 7. A36320

a(n) = ∑_k=1..n φ(k) * (floor(n/k)⁴ - floor((n-1)/k)⁴). A344600

"Sloping binary representation" of Fibonacci numbers, slope = +1. A37093