The number 3907
3907 is the 540th prime number. Its only divisors are 1 and 3907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3907: the 540th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3907 is prime, so its only factors are 1 and 3907. It is the 540th prime; the next prime is 3911 and the one before is 3889.
- 3
The divisors add up to 3908; without 3907 itself that is 1, so 3907 is deficient (1 is less than 3907). Euler's totient φ(3907) = 3906 numbers up to 3907 share no factor with it.
- 4
The digits of 3907 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
3907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3908 |
| Euler totient φ(n) | 3906 |
| Square | 15264649 |
| Cube | 59638983643 |
| Square root | 62.506000 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.907 × |
3907 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seven |
| Roman numerals | MMMCMVII |
| Binary (base 2) | 111101000011 |
| Octal (base 8) | 7503 |
| Hexadecimal (base 16) | F43 |
| Base 3 | 12100201 |
| As time | 3907 seconds = 1 h 5 min 7 s |
Is 3907 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3907 a prime number?
Yes. 3907 is divisible only by 1 and itself.
What are the factors of 3907?
1, 3907.
What is 3907 in binary?
111101000011 (hexadecimal F43, octal 7503).
What is the square root of 3907?
About 62.5060.
What is 3907 in Roman numerals?
MMMCMVII.
Is 3907 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3907?
3907 is the 540th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.