The number 11059
11059 is a twin prime (11057 and 11059 are both prime) and the 1340th prime number. Its only divisors are 1 and 11059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11059: a twin prime (11057 and 11059 are both prime); the 1340th prime number.
- 2
11059 is prime, so its only factors are 1 and 11059. It is the 1340th prime; the next prime is 11069 and the one before is 11057.
- 3
The divisors add up to 11060; without 11059 itself that is 1, so 11059 is deficient (1 is less than 11059). Euler's totient φ(11059) = 11058 numbers up to 11059 share no factor with it.
- 4
The digits of 11059 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 42 steps to reach 1.
11059 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11060 |
| Euler totient φ(n) | 11058 |
| Square | 122301481 |
| Cube | 1352532078379 |
| Square root | 105.161780 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.1059 × |
11059 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and fifty-nine |
| Binary (base 2) | 10101100110011 |
| Octal (base 8) | 25463 |
| Hexadecimal (base 16) | 2B33 |
| Base 3 | 120011121 |
| As time | 11059 seconds = 3 h 4 min 19 s |
Is 11059 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 4) | 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 9) | 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 11059 a prime number?
Yes. 11059 is divisible only by 1 and itself.
What are the factors of 11059?
1, 11059.
What is 11059 in binary?
10101100110011 (hexadecimal 2B33, octal 25463).
What is the square root of 11059?
About 105.1618.
Is 11059 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11059?
11059 is a twin prime (11057 and 11059 are both prime); the 1340th prime number.