The number 1063
1063 is a twin prime (1061 and 1063 are both prime) and the 179th prime number. Its only divisors are 1 and 1063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1063: a twin prime (1061 and 1063 are both prime); the 179th prime number.
- 2
1063 is prime, so its only factors are 1 and 1063. It is the 179th prime; the next prime is 1069 and the one before is 1061.
- 3
The divisors add up to 1064; without 1063 itself that is 1, so 1063 is deficient (1 is less than 1063). Euler's totient φ(1063) = 1062 numbers up to 1063 share no factor with it.
- 4
The digits of 1063 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 75 steps to reach 1.
1063 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1064 |
| Euler totient φ(n) | 1062 |
| Square | 1129969 |
| Cube | 1201157047 |
| Square root | 32.603681 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 1.063 × |
1063 in other forms
| Form | Value |
|---|---|
| In words | one thousand and sixty-three |
| Roman numerals | MLXIII |
| Binary (base 2) | 10000100111 |
| Octal (base 8) | 2047 |
| Hexadecimal (base 16) | 427 |
| Base 3 | 1110101 |
| As time | 1063 seconds = 17 min 43 s |
Is 1063 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 3) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1063 a prime number?
Yes. 1063 is divisible only by 1 and itself.
What are the factors of 1063?
1, 1063.
What is 1063 in binary?
10000100111 (hexadecimal 427, octal 2047).
What is the square root of 1063?
About 32.6037.
What is 1063 in Roman numerals?
MLXIII.
Is 1063 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1063?
1063 is a twin prime (1061 and 1063 are both prime); the 179th prime number.