Properties of the Number 37000

Thirty-Seven Thousand

Basics

Value: 36999 → 37000 → 37001

Parity: even

Prime: No

Previous Prime: 36997

Next Prime: 37003

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 ³ × 37

Divisors: 1, 2, 4, 5, 8, 10, 20, 25, 37, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000010001000

Octal: 110210

Duodecimal: 194B4

Hexadecimal: 9088

Square: 1369000000

Square Root: 192.35384061671346

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

Numbers n such that the sum of the digits squared times the sum of the digits of n to some power equals n. A257784

Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 3. A380924

Numbers divisible by the cube of the sum of their digits in base 10. A72082

Numbers k such that the square of the sum of the digits times the sum of the cubes of the digits equals k. A366512

Positions of the digit '1' in the decimal expansion of π. A37000

Continued fraction for sqrt(17). A40012

Triangle read by rows in which row n lists n+1 terms, starting with n⁴ and ending with n⁵, such that the difference between successive terms is equal to n⁴ - n³. A163284

Continued fraction for sqrt(68). A40059

Numbers j such that m = 216·j + 108 satisfies σ(m) ≠ 2·usigma(m). A97703

Odd numbers k such that the number of 1's in binary representation of k equals ω(k), the number of distinct primes in the factorization of k. A71595