The number 2713
2713 is a twin prime (2711 and 2713 are both prime) and the 396th prime number. Its only divisors are 1 and 2713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2713: a twin prime (2711 and 2713 are both prime); the 396th prime number.
- 2
2713 is prime, so its only factors are 1 and 2713. It is the 396th prime; the next prime is 2719 and the one before is 2711.
- 3
The divisors add up to 2714; without 2713 itself that is 1, so 2713 is deficient (1 is less than 2713). Euler's totient φ(2713) = 2712 numbers up to 2713 share no factor with it.
- 4
The digits of 2713 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 159 steps to reach 1.
2713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2714 |
| Euler totient φ(n) | 2712 |
| Square | 7360369 |
| Cube | 19968681097 |
| Square root | 52.086467 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 2.713 × |
2713 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirteen |
| Roman numerals | MMDCCXIII |
| Binary (base 2) | 101010011001 |
| Octal (base 8) | 5231 |
| Hexadecimal (base 16) | A99 |
| Base 3 | 10201111 |
| As time | 2713 seconds = 45 min 13 s |
Is 2713 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2713 a prime number?
Yes. 2713 is divisible only by 1 and itself.
What are the factors of 2713?
1, 2713.
What is 2713 in binary?
101010011001 (hexadecimal A99, octal 5231).
What is the square root of 2713?
About 52.0865.
What is 2713 in Roman numerals?
MMDCCXIII.
Is 2713 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2713?
2713 is a twin prime (2711 and 2713 are both prime); the 396th prime number.