The number 2027
2027 is a twin prime (2027 and 2029 are both prime) and the 307th prime number. Its only divisors are 1 and 2027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2027: a twin prime (2027 and 2029 are both prime); the 307th prime number.
- 2
2027 is prime, so its only factors are 1 and 2027. It is the 307th prime; the next prime is 2029 and the one before is 2017.
- 3
The divisors add up to 2028; without 2027 itself that is 1, so 2027 is deficient (1 is less than 2027). Euler's totient φ(2027) = 2026 numbers up to 2027 share no factor with it.
- 4
The digits of 2027 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
2027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2028 |
| Euler totient φ(n) | 2026 |
| Square | 4108729 |
| Cube | 8328393683 |
| Square root | 45.022217 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 2.027 × |
2027 in other forms
| Form | Value |
|---|---|
| In words | two thousand and twenty-seven |
| Roman numerals | MMXXVII |
| Binary (base 2) | 11111101011 |
| Octal (base 8) | 3753 |
| Hexadecimal (base 16) | 7EB |
| Base 3 | 2210002 |
| As time | 2027 seconds = 33 min 47 s |
Is 2027 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 2) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2027 a prime number?
Yes. 2027 is divisible only by 1 and itself.
What are the factors of 2027?
1, 2027.
What is 2027 in binary?
11111101011 (hexadecimal 7EB, octal 3753).
What is the square root of 2027?
About 45.0222.
What is 2027 in Roman numerals?
MMXXVII.
Is 2027 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2027?
2027 is a twin prime (2027 and 2029 are both prime); the 307th prime number.