The number 11242
11242 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 73. Divisors (16): 1, 2, 7, 11, 14, 22, 73, 77, 146, 154, 511, 803, 1022, 1606, 5621, 11242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11242 is composite. Its prime factorisation is
- 3
The divisors add up to 21312; without 11242 itself that is 10070, so 11242 is deficient (10070 is less than 11242). Euler's totient φ(11242) = 4320 numbers up to 11242 share no factor with it.
- 4
The digits of 11242 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11242 = 2 \times 7 \times 11 \times 73 \]
11242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21312 |
| Euler totient φ(n) | 4320 |
| Square | 126382564 |
| Cube | 1420792784488 |
| Square root | 106.028298 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.1242 × |
11242 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and forty-two |
| Binary (base 2) | 10101111101010 |
| Octal (base 8) | 25752 |
| Hexadecimal (base 16) | 2BEA |
| Base 3 | 120102101 |
| As time | 11242 seconds = 3 h 7 min 22 s |
Is 11242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11242 ÷ 2 = 5621) | 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 | Yes (11242 ÷ 7 = 1606) | 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 1) | 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 | Yes (11242 ÷ 11 = 1022) | 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 11242 a prime number?
No. 11242 = 2 × 7 × 11 × 73, so it is divisible by 2.
What are the factors of 11242?
1, 2, 7, 11, 14, 22, 73, 77, 146, 154, 511, 803, 1022, 1606, 5621, 11242.
What is 11242 in binary?
10101111101010 (hexadecimal 2BEA, octal 25752).
What is the square root of 11242?
About 106.0283.
Is 11242 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 11242?
It is a composite number with 16 divisors.