Properties of the Number 37493

Thirty-Seven Thousand Four Hundred Ninety-Three

Basics

Value: 37492 → 37493 → 37494

Parity: odd

Prime: Yes

Previous Prime: 37489

Next Prime: 37501

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 37493

Divisors: 1, 37493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001110101

Octal: 111165

Duodecimal: 19845

Hexadecimal: 9275

Square: 1405725049

Square Root: 193.63109254456012

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

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)⁵)³. A137962

Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different centuries. A287049

Primes of the form (k+1)*prime(k) + k·prime(k+1). A97241

Centered heptagonal prime numbers. A144974

Generating function satisfies A(x)=1-xA(x)+2x(A(x))²-x²(A(x))³+x²(A(x))⁴. A200740

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 555", based on the 5-celled von Neumann neighborhood. A272922

Expansion of 1/((1-x)⁴ - 8·x⁴)^1/4. A376835

Primes p in A068209 whose squares never divide (x+1)^p-x^p-1 and x^x+(x+1)^x+1 for the same x. A165284

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 2,1. A37493