The number 10442
10442 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 227. Divisors (8): 1, 2, 23, 46, 227, 454, 5221, 10442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10442 is composite. Its prime factorisation is
- 3
The divisors add up to 16416; without 10442 itself that is 5974, so 10442 is deficient (5974 is less than 10442). Euler's totient φ(10442) = 4972 numbers up to 10442 share no factor with it.
- 4
The digits of 10442 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10442 = 2 \times 23 \times 227 \]
10442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16416 |
| Euler totient φ(n) | 4972 |
| Square | 109035364 |
| Cube | 1138547270888 |
| Square root | 102.186105 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0442 × |
10442 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and forty-two |
| Binary (base 2) | 10100011001010 |
| Octal (base 8) | 24312 |
| Hexadecimal (base 16) | 28CA |
| Base 3 | 112022202 |
| As time | 10442 seconds = 2 h 54 min 2 s |
Is 10442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10442 ÷ 2 = 5221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10442 a prime number?
No. 10442 = 2 × 23 × 227, so it is divisible by 2.
What are the factors of 10442?
1, 2, 23, 46, 227, 454, 5221, 10442.
What is 10442 in binary?
10100011001010 (hexadecimal 28CA, octal 24312).
What is the square root of 10442?
About 102.1861.
Is 10442 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10442?
It is a composite number with 8 divisors.