The number 11124
11124 is a composite number with 24 divisors. Its prime factorisation is × × 103. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 103, 108, 206, 309, 412 … 11124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11124: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
11124 is composite. Its prime factorisation is
- 3
The divisors add up to 29120; without 11124 itself that is 17996, so 11124 is abundant (17996 is more than 11124). Euler's totient φ(11124) = 3672 numbers up to 11124 share no factor with it.
- 4
The digits of 11124 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11124 = 2^{2} \times 3^{3} \times 103 \]11124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 29120 |
| Euler totient φ(n) | 3672 |
| Square | 123743376 |
| Cube | 1376521314624 |
| Square root | 105.470375 (= 6√309) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1124 × |
11124 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and twenty-four |
| Binary (base 2) | 10101101110100 |
| Octal (base 8) | 25564 |
| Hexadecimal (base 16) | 2B74 |
| Base 3 | 120021000 |
| As time | 11124 seconds = 3 h 5 min 24 s |
Is 11124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11124 ÷ 2 = 5562) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11124 ÷ 3 = 3708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11124 ÷ 4 = 2781) | 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 | Yes (11124 ÷ 6 = 1854) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11124 ÷ 9 = 1236) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11124 ÷ 12 = 927) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11124 a prime number?
No. 11124 = × × 103, so it is divisible by 2.
What are the factors of 11124?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 103, 108, 206, 309, 412, 618, 927, 1236, 1854, 2781, 3708, 5562, 11124.
What is 11124 in binary?
10101101110100 (hexadecimal 2B74, octal 25564).
What is the square root of 11124?
About 105.4704, exactly 6√309.
Is 11124 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 11124?
11124 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.