The number 37138
37138 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 599. Divisors (8): 1, 2, 31, 62, 599, 1198, 18569, 37138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37138 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 37138 itself that is 20462, so 37138 is deficient (20462 is less than 37138). Euler's totient φ(37138) = 17940 numbers up to 37138 share no factor with it.
- 4
The digits of 37138 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37138 = 2 \times 31 \times 599 \]
37138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 17940 |
| Square | 1379231044 |
| Cube | 51221882512072 |
| Square root | 192.712221 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7138 × |
37138 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and thirty-eight |
| Binary (base 2) | 1001000100010010 |
| Octal (base 8) | 110422 |
| Hexadecimal (base 16) | 9112 |
| Base 3 | 1212221111 |
| As time | 37138 seconds = 10 h 18 min 58 s |
Is 37138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37138 ÷ 2 = 18569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37138 a prime number?
No. 37138 = 2 × 31 × 599, so it is divisible by 2.
What are the factors of 37138?
1, 2, 31, 62, 599, 1198, 18569, 37138.
What is 37138 in binary?
1001000100010010 (hexadecimal 9112, octal 110422).
What is the square root of 37138?
About 192.7122.
Is 37138 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37138?
It is a composite number with 8 divisors.