The number 2677
2677 is the 388th prime number. Its only divisors are 1 and 2677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2677: the 388th prime number.
- 2
2677 is prime, so its only factors are 1 and 2677. It is the 388th prime; the next prime is 2683 and the one before is 2671.
- 3
The divisors add up to 2678; without 2677 itself that is 1, so 2677 is deficient (1 is less than 2677). Euler's totient φ(2677) = 2676 numbers up to 2677 share no factor with it.
- 4
The digits of 2677 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 71 steps to reach 1.
2677 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2678 |
| Euler totient φ(n) | 2676 |
| Square | 7166329 |
| Cube | 19184262733 |
| Square root | 51.739733 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.677 × |
2677 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy-seven |
| Roman numerals | MMDCLXXVII |
| Binary (base 2) | 101001110101 |
| Octal (base 8) | 5165 |
| Hexadecimal (base 16) | A75 |
| Base 3 | 10200011 |
| As time | 2677 seconds = 44 min 37 s |
Is 2677 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 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 3) | 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 5) | 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 4) | 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 2677 a prime number?
Yes. 2677 is divisible only by 1 and itself.
What are the factors of 2677?
1, 2677.
What is 2677 in binary?
101001110101 (hexadecimal A75, octal 5165).
What is the square root of 2677?
About 51.7397.
What is 2677 in Roman numerals?
MMDCLXXVII.
Is 2677 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 2677?
2677 is the 388th prime number.