The number 442
442 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 17. Divisors (8): 1, 2, 13, 17, 26, 34, 221, 442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
442 is composite. Its prime factorisation is
- 3
The divisors add up to 756; without 442 itself that is 314, so 442 is deficient (314 is less than 442). Euler's totient φ(442) = 192 numbers up to 442 share no factor with it.
- 4
The digits of 442 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 442 = 2 \times 13 \times 17 \]
442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 756 |
| Euler totient φ(n) | 192 |
| Square | 195364 |
| Cube | 86350888 |
| Square root | 21.023796 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 4.42 × |
442 in other forms
| Form | Value |
|---|---|
| In words | four hundred and forty-two |
| Roman numerals | CDXLII |
| Binary (base 2) | 110111010 |
| Octal (base 8) | 672 |
| Hexadecimal (base 16) | 1BA |
| Base 3 | 121101 |
| As time | 442 seconds = 7 min 22 s |
Is 442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (442 ÷ 2 = 221) | 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 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 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 | No (remainder 2) | 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 442 a prime number?
No. 442 = 2 × 13 × 17, so it is divisible by 2.
What are the factors of 442?
1, 2, 13, 17, 26, 34, 221, 442.
What is 442 in binary?
110111010 (hexadecimal 1BA, octal 672).
What is the square root of 442?
About 21.0238.
What is 442 in Roman numerals?
CDXLII.
Is 442 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 442?
It is a composite number with 8 divisors.