The number 2707
2707 is the 394th prime number. Its only divisors are 1 and 2707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2707: the 394th prime number.
- 2
2707 is prime, so its only factors are 1 and 2707. It is the 394th prime; the next prime is 2711 and the one before is 2699.
- 3
The divisors add up to 2708; without 2707 itself that is 1, so 2707 is deficient (1 is less than 2707). Euler's totient φ(2707) = 2706 numbers up to 2707 share no factor with it.
- 4
The digits of 2707 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 40 steps to reach 1.
2707 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2708 |
| Euler totient φ(n) | 2706 |
| Square | 7327849 |
| Cube | 19836487243 |
| Square root | 52.028838 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.707 × |
2707 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and seven |
| Roman numerals | MMDCCVII |
| Binary (base 2) | 101010010011 |
| Octal (base 8) | 5223 |
| Hexadecimal (base 16) | A93 |
| Base 3 | 10201021 |
| As time | 2707 seconds = 45 min 7 s |
Is 2707 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 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 1) | 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 2707 a prime number?
Yes. 2707 is divisible only by 1 and itself.
What are the factors of 2707?
1, 2707.
What is 2707 in binary?
101010010011 (hexadecimal A93, octal 5223).
What is the square root of 2707?
About 52.0288.
What is 2707 in Roman numerals?
MMDCCVII.
Is 2707 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2707?
2707 is the 394th prime number.