The number 7027
7027 is the 904th prime number. Its only divisors are 1 and 7027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7027: the 904th prime number.
- 2
7027 is prime, so its only factors are 1 and 7027. It is the 904th prime; the next prime is 7039 and the one before is 7019.
- 3
The divisors add up to 7028; without 7027 itself that is 1, so 7027 is deficient (1 is less than 7027). Euler's totient φ(7027) = 7026 numbers up to 7027 share no factor with it.
- 4
The digits of 7027 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 57 steps to reach 1.
7027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7028 |
| Euler totient φ(n) | 7026 |
| Square | 49378729 |
| Cube | 346984328683 |
| Square root | 83.827203 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.027 × |
7027 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and twenty-seven |
| Binary (base 2) | 1101101110011 |
| Octal (base 8) | 15563 |
| Hexadecimal (base 16) | 1B73 |
| Base 3 | 100122021 |
| As time | 7027 seconds = 1 h 57 min 7 s |
Is 7027 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 6) | 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 9) | 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 7027 a prime number?
Yes. 7027 is divisible only by 1 and itself.
What are the factors of 7027?
1, 7027.
What is 7027 in binary?
1101101110011 (hexadecimal 1B73, octal 15563).
What is the square root of 7027?
About 83.8272.
Is 7027 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7027?
7027 is the 904th prime number.