The number 11122
11122 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 83. Divisors (8): 1, 2, 67, 83, 134, 166, 5561, 11122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11122 is composite. Its prime factorisation is
- 3
The divisors add up to 17136; without 11122 itself that is 6014, so 11122 is deficient (6014 is less than 11122). Euler's totient φ(11122) = 5412 numbers up to 11122 share no factor with it.
- 4
The digits of 11122 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11122 = 2 \times 67 \times 83 \]
11122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17136 |
| Euler totient φ(n) | 5412 |
| Square | 123698884 |
| Cube | 1375778987848 |
| Square root | 105.460893 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1122 × |
11122 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and twenty-two |
| Binary (base 2) | 10101101110010 |
| Octal (base 8) | 25562 |
| Hexadecimal (base 16) | 2B72 |
| Base 3 | 120020221 |
| As time | 11122 seconds = 3 h 5 min 22 s |
Is 11122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11122 ÷ 2 = 5561) | 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 2) | 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 4) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11122 a prime number?
No. 11122 = 2 × 67 × 83, so it is divisible by 2.
What are the factors of 11122?
1, 2, 67, 83, 134, 166, 5561, 11122.
What is 11122 in binary?
10101101110010 (hexadecimal 2B72, octal 25562).
What is the square root of 11122?
About 105.4609.
Is 11122 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 11122?
It is a composite number with 8 divisors.