The number 2767
2767 is the 403rd prime number. Its only divisors are 1 and 2767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2767: the 403rd prime number.
- 2
2767 is prime, so its only factors are 1 and 2767. It is the 403rd prime; the next prime is 2777 and the one before is 2753.
- 3
The divisors add up to 2768; without 2767 itself that is 1, so 2767 is deficient (1 is less than 2767). Euler's totient φ(2767) = 2766 numbers up to 2767 share no factor with it.
- 4
The digits of 2767 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
2767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2768 |
| Euler totient φ(n) | 2766 |
| Square | 7656289 |
| Cube | 21184951663 |
| Square root | 52.602281 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 2.767 × |
2767 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and sixty-seven |
| Roman numerals | MMDCCLXVII |
| Binary (base 2) | 101011001111 |
| Octal (base 8) | 5317 |
| Hexadecimal (base 16) | ACF |
| Base 3 | 10210111 |
| As time | 2767 seconds = 46 min 7 s |
Is 2767 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 2) | 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 6) | 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 2767 a prime number?
Yes. 2767 is divisible only by 1 and itself.
What are the factors of 2767?
1, 2767.
What is 2767 in binary?
101011001111 (hexadecimal ACF, octal 5317).
What is the square root of 2767?
About 52.6023.
What is 2767 in Roman numerals?
MMDCCLXVII.
Is 2767 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 2767?
2767 is the 403rd prime number.