The number 12037
12037 is the 1441st prime number. Its only divisors are 1 and 12037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12037: the 1441st prime number.
- 2
12037 is prime, so its only factors are 1 and 12037. It is the 1441st prime; the next prime is 12041 and the one before is 12011.
- 3
The divisors add up to 12038; without 12037 itself that is 1, so 12037 is deficient (1 is less than 12037). Euler's totient φ(12037) = 12036 numbers up to 12037 share no factor with it.
- 4
The digits of 12037 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
12037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12038 |
| Euler totient φ(n) | 12036 |
| Square | 144889369 |
| Cube | 1744033334653 |
| Square root | 109.713263 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2037 × |
12037 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and thirty-seven |
| Binary (base 2) | 10111100000101 |
| Octal (base 8) | 27405 |
| Hexadecimal (base 16) | 2F05 |
| Base 3 | 121111211 |
| As time | 12037 seconds = 3 h 20 min 37 s |
Is 12037 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 2) | 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 4) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 12037 a prime number?
Yes. 12037 is divisible only by 1 and itself.
What are the factors of 12037?
1, 12037.
What is 12037 in binary?
10111100000101 (hexadecimal 2F05, octal 27405).
What is the square root of 12037?
About 109.7133.
Is 12037 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 12037?
12037 is the 1441st prime number.