The number 37129
37129 is a composite number with 4 divisors. Its prime factorisation is 107 × 347. Divisors (4): 1, 107, 347, 37129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37129: a semiprime: 107 × 347, the product of two primes.
- 2
37129 is composite. Its prime factorisation is
- 3
The divisors add up to 37584; without 37129 itself that is 455, so 37129 is deficient (455 is less than 37129). Euler's totient φ(37129) = 36676 numbers up to 37129 share no factor with it.
- 4
The digits of 37129 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
\[ 37129 = 107 \times 347 \]
37129 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37584 |
| Euler totient φ(n) | 36676 |
| Square | 1378562641 |
| Cube | 51184652297689 |
| Square root | 192.688868 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7129 × |
37129 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and twenty-nine |
| Binary (base 2) | 1001000100001001 |
| Octal (base 8) | 110411 |
| Hexadecimal (base 16) | 9109 |
| Base 3 | 1212221011 |
| As time | 37129 seconds = 10 h 18 min 49 s |
Is 37129 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37129 a prime number?
No. 37129 = 107 × 347, so it is divisible by 107.
What are the factors of 37129?
1, 107, 347, 37129.
What is 37129 in binary?
1001000100001001 (hexadecimal 9109, octal 110411).
What is the square root of 37129?
About 192.6889.
Is 37129 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37129?
37129 is a semiprime: 107 × 347, the product of two primes.