The number 11121
11121 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 337. Divisors (8): 1, 3, 11, 33, 337, 1011, 3707, 11121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11121 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11121 is composite. Its prime factorisation is
- 3
The divisors add up to 16224; without 11121 itself that is 5103, so 11121 is deficient (5103 is less than 11121). Euler's totient φ(11121) = 6720 numbers up to 11121 share no factor with it.
- 4
The digits of 11121 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11121 = 3 \times 11 \times 337 \]
11121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16224 |
| Euler totient φ(n) | 6720 |
| Square | 123676641 |
| Cube | 1375407924561 |
| Square root | 105.456152 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1121 × |
11121 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and twenty-one |
| Binary (base 2) | 10101101110001 |
| Octal (base 8) | 25561 |
| Hexadecimal (base 16) | 2B71 |
| Base 3 | 120020220 |
| As time | 11121 seconds = 3 h 5 min 21 s |
Is 11121 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 | Yes (11121 ÷ 3 = 3707) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (11121 ÷ 11 = 1011) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11121 a prime number?
No. 11121 = 3 × 11 × 337, so it is divisible by 3.
What are the factors of 11121?
1, 3, 11, 33, 337, 1011, 3707, 11121.
What is 11121 in binary?
10101101110001 (hexadecimal 2B71, octal 25561).
What is the square root of 11121?
About 105.4562.
Is 11121 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 11121?
It is a composite number with 8 divisors.