The number 607
607 is the 111th prime number. Its only divisors are 1 and 607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 607: the 111th prime number.
- 2
607 is prime, so its only factors are 1 and 607. It is the 111th prime; the next prime is 613 and the one before is 601.
- 3
The divisors add up to 608; without 607 itself that is 1, so 607 is deficient (1 is less than 607). Euler's totient φ(607) = 606 numbers up to 607 share no factor with it.
- 4
The digits of 607 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 43 steps to reach 1.
607 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 608 |
| Euler totient φ(n) | 606 |
| Square | 368449 |
| Cube | 223648543 |
| Square root | 24.637370 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 6.07 × |
607 in other forms
| Form | Value |
|---|---|
| In words | six hundred and seven |
| Roman numerals | DCVII |
| Binary (base 2) | 1001011111 |
| Octal (base 8) | 1137 |
| Hexadecimal (base 16) | 25F |
| Base 3 | 211111 |
| As time | 607 seconds = 10 min 7 s |
Is 607 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 5) | 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 7) | 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 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 607 a prime number?
Yes. 607 is divisible only by 1 and itself.
What are the factors of 607?
1, 607.
What is 607 in binary?
1001011111 (hexadecimal 25F, octal 1137).
What is the square root of 607?
About 24.6374.
What is 607 in Roman numerals?
DCVII.
Is 607 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 607?
607 is the 111th prime number.