The number 1061
1061 is a twin prime (1061 and 1063 are both prime) and the 178th prime number. Its only divisors are 1 and 1061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1061: a twin prime (1061 and 1063 are both prime); the 178th prime number.
- 2
1061 is prime, so its only factors are 1 and 1061. It is the 178th prime; the next prime is 1063 and the one before is 1051.
- 3
The divisors add up to 1062; without 1061 itself that is 1, so 1061 is deficient (1 is less than 1061). Euler's totient φ(1061) = 1060 numbers up to 1061 share no factor with it.
- 4
The digits of 1061 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
1061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1062 |
| Euler totient φ(n) | 1060 |
| Square | 1125721 |
| Cube | 1194389981 |
| Square root | 32.572995 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.061 × |
1061 in other forms
| Form | Value |
|---|---|
| In words | one thousand and sixty-one |
| Roman numerals | MLXI |
| Binary (base 2) | 10000100101 |
| Octal (base 8) | 2045 |
| Hexadecimal (base 16) | 425 |
| Base 3 | 1110022 |
| As time | 1061 seconds = 17 min 41 s |
Is 1061 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1061 a prime number?
Yes. 1061 is divisible only by 1 and itself.
What are the factors of 1061?
1, 1061.
What is 1061 in binary?
10000100101 (hexadecimal 425, octal 2045).
What is the square root of 1061?
About 32.5730.
What is 1061 in Roman numerals?
MLXI.
Is 1061 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1061?
1061 is a twin prime (1061 and 1063 are both prime); the 178th prime number.