The number 37131
37131 is a composite number with 4 divisors. Its prime factorisation is 3 × 12377. Divisors (4): 1, 3, 12377, 37131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37131: a semiprime: 3 × 12377, the product of two primes.
- 2
37131 is composite. Its prime factorisation is
- 3
The divisors add up to 49512; without 37131 itself that is 12381, so 37131 is deficient (12381 is less than 37131). Euler's totient φ(37131) = 24752 numbers up to 37131 share no factor with it.
- 4
The digits of 37131 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37131 = 3 \times 12377 \]
37131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49512 |
| Euler totient φ(n) | 24752 |
| Square | 1378711161 |
| Cube | 51192924119091 |
| Square root | 192.694058 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7131 × |
37131 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and thirty-one |
| Binary (base 2) | 1001000100001011 |
| Octal (base 8) | 110413 |
| Hexadecimal (base 16) | 910B |
| Base 3 | 1212221020 |
| As time | 37131 seconds = 10 h 18 min 51 s |
Is 37131 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 | Yes (37131 ÷ 3 = 12377) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37131 a prime number?
No. 37131 = 3 × 12377, so it is divisible by 3.
What are the factors of 37131?
1, 3, 12377, 37131.
What is 37131 in binary?
1001000100001011 (hexadecimal 910B, octal 110413).
What is the square root of 37131?
About 192.6941.
Is 37131 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 37131?
37131 is a semiprime: 3 × 12377, the product of two primes.