The number 1027
1027 is a composite number with 4 divisors. Its prime factorisation is 13 × 79. Divisors (4): 1, 13, 79, 1027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1027: a semiprime: 13 × 79, the product of two primes.
- 2
1027 is composite. Its prime factorisation is
- 3
The divisors add up to 1120; without 1027 itself that is 93, so 1027 is deficient (93 is less than 1027). Euler's totient φ(1027) = 936 numbers up to 1027 share no factor with it.
- 4
The digits of 1027 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1027 = 13 \times 79 \]
1027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1120 |
| Euler totient φ(n) | 936 |
| Square | 1054729 |
| Cube | 1083206683 |
| Square root | 32.046841 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 1.027 × |
1027 in other forms
| Form | Value |
|---|---|
| In words | one thousand and twenty-seven |
| Roman numerals | MXXVII |
| Binary (base 2) | 10000000011 |
| Octal (base 8) | 2003 |
| Hexadecimal (base 16) | 403 |
| Base 3 | 1102001 |
| As time | 1027 seconds = 17 min 7 s |
Is 1027 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 5) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1027 a prime number?
No. 1027 = 13 × 79, so it is divisible by 13.
What are the factors of 1027?
1, 13, 79, 1027.
What is 1027 in binary?
10000000011 (hexadecimal 403, octal 2003).
What is the square root of 1027?
About 32.0468.
What is 1027 in Roman numerals?
MXXVII.
Is 1027 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1027?
1027 is a semiprime: 13 × 79, the product of two primes.