The number 1627
1627 is the 258th prime number. Its only divisors are 1 and 1627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1627: the 258th prime number.
- 2
1627 is prime, so its only factors are 1 and 1627. It is the 258th prime; the next prime is 1637 and the one before is 1621.
- 3
The divisors add up to 1628; without 1627 itself that is 1, so 1627 is deficient (1 is less than 1627). Euler's totient φ(1627) = 1626 numbers up to 1627 share no factor with it.
- 4
The digits of 1627 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 73 steps to reach 1.
1627 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1628 |
| Euler totient φ(n) | 1626 |
| Square | 2647129 |
| Cube | 4306878883 |
| Square root | 40.336088 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.627 × |
1627 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and twenty-seven |
| Roman numerals | MDCXXVII |
| Binary (base 2) | 11001011011 |
| Octal (base 8) | 3133 |
| Hexadecimal (base 16) | 65B |
| Base 3 | 2020021 |
| As time | 1627 seconds = 27 min 7 s |
Is 1627 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 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 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 10) | 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 1627 a prime number?
Yes. 1627 is divisible only by 1 and itself.
What are the factors of 1627?
1, 1627.
What is 1627 in binary?
11001011011 (hexadecimal 65B, octal 3133).
What is the square root of 1627?
About 40.3361.
What is 1627 in Roman numerals?
MDCXXVII.
Is 1627 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1627?
1627 is the 258th prime number.