37842
Number 37842: Properties, Factors, and Mathematical Facts
Short answer
The number 37842 is an even composite number with 32 positive divisors. Its prime factorization is 2 × 3 × 7 × 17 × 53. It is also an abundant number, which gives it several notable mathematical relationships.
Is 37842 prime?
ClassificationCompositeParityEvenDivisor count32AbundanceAbundant
What is the prime factorization of 37842?
Prime factorization
2 times 3 times 7 times 17 times 53
What are the divisors of 37842?
Divisor count
32
Divisor sum
93,312
Proper divisor sum
55,470
- 1
- 2
- 3
- 6
- 7
- 14
- 17
- 21
- 34
- 42
- 51
- 53
- 102
- 106
- 119
- 159
- 238
- 318
- 357
- 371
- 714
- 742
- 901
- 1113
How is 37842 classified?
How is 37842 represented in other numeral systems?
Decimal
37842
Binary
1001001111010010
Octal
111722
Hexadecimal
93D2
Roman
No conventional Roman numeral
In words
thirty seven thousand eight hundred forty two
Roots and powers
Square root
194.530203 Approximate
Cube root
33.573094 Approximate
Nearest lower square
37636
Nearest higher square
38025
Nearest lower cube
35937
Nearest higher cube
39304
What are the digit properties of 37842?
Which numbers are related to 37842?
Why these results are true
- 37842 is composite because it has positive divisors other than 1 and itself.
- 37842 is abundant because the sum of its proper divisors (55470) is greater than 37842.
Compare this number
FAQ for 37842
- Is 37842 prime?
- No
- What is the prime factorization of 37842?
- 2 × 3 × 7 × 17 × 53
- Is 37842 a perfect square?
- No
- What is 37842 in binary?
- 1001001111010010