The number 3137
3137 is the 446th prime number. Its only divisors are 1 and 3137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3137: the 446th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3137 is prime, so its only factors are 1 and 3137. It is the 446th prime; the next prime is 3163 and the one before is 3121.
- 3
The divisors add up to 3138; without 3137 itself that is 1, so 3137 is deficient (1 is less than 3137). Euler's totient φ(3137) = 3136 numbers up to 3137 share no factor with it.
- 4
The digits of 3137 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
3137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3138 |
| Euler totient φ(n) | 3136 |
| Square | 9840769 |
| Cube | 30870492353 |
| Square root | 56.008928 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.137 × |
3137 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and thirty-seven |
| Roman numerals | MMMCXXXVII |
| Binary (base 2) | 110001000001 |
| Octal (base 8) | 6101 |
| Hexadecimal (base 16) | C41 |
| Base 3 | 11022012 |
| As time | 3137 seconds = 52 min 17 s |
Is 3137 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 2) | 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 5) | 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 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3137 a prime number?
Yes. 3137 is divisible only by 1 and itself.
What are the factors of 3137?
1, 3137.
What is 3137 in binary?
110001000001 (hexadecimal C41, octal 6101).
What is the square root of 3137?
About 56.0089.
What is 3137 in Roman numerals?
MMMCXXXVII.
Is 3137 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3137?
3137 is the 446th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.