The number 907
907 is the 155th prime number. Its only divisors are 1 and 907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 907: the 155th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
907 is prime, so its only factors are 1 and 907. It is the 155th prime; the next prime is 911 and the one before is 887.
- 3
The divisors add up to 908; without 907 itself that is 1, so 907 is deficient (1 is less than 907). Euler's totient φ(907) = 906 numbers up to 907 share no factor with it.
- 4
The digits of 907 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 908 |
| Euler totient φ(n) | 906 |
| Square | 822649 |
| Cube | 746142643 |
| Square root | 30.116441 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 9.07 × |
907 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seven |
| Roman numerals | CMVII |
| Binary (base 2) | 1110001011 |
| Octal (base 8) | 1613 |
| Hexadecimal (base 16) | 38B |
| Base 3 | 1020121 |
| As time | 907 seconds = 15 min 7 s |
Is 907 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 907 a prime number?
Yes. 907 is divisible only by 1 and itself.
What are the factors of 907?
1, 907.
What is 907 in binary?
1110001011 (hexadecimal 38B, octal 1613).
What is the square root of 907?
About 30.1164.
What is 907 in Roman numerals?
CMVII.
Is 907 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 907?
907 is the 155th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.