The number 40442
40442 is a composite number with 8 divisors. Its prime factorisation is 2 × 73 × 277. Divisors (8): 1, 2, 73, 146, 277, 554, 20221, 40442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40442 is composite. Its prime factorisation is
- 3
The divisors add up to 61716; without 40442 itself that is 21274, so 40442 is deficient (21274 is less than 40442). Euler's totient φ(40442) = 19872 numbers up to 40442 share no factor with it.
- 4
The digits of 40442 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40442 = 2 \times 73 \times 277 \]
40442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61716 |
| Euler totient φ(n) | 19872 |
| Square | 1635555364 |
| Cube | 66145130030888 |
| Square root | 201.101964 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0442 × |
40442 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and forty-two |
| Binary (base 2) | 1001110111111010 |
| Octal (base 8) | 116772 |
| Hexadecimal (base 16) | 9DFA |
| Base 3 | 2001110212 |
| As time | 40442 seconds = 11 h 14 min 2 s |
Is 40442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40442 ÷ 2 = 20221) | 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 3) | 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 5) | 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 6) | 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 40442 a prime number?
No. 40442 = 2 × 73 × 277, so it is divisible by 2.
What are the factors of 40442?
1, 2, 73, 146, 277, 554, 20221, 40442.
What is 40442 in binary?
1001110111111010 (hexadecimal 9DFA, octal 116772).
What is the square root of 40442?
About 201.1020.
Is 40442 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40442?
It is a composite number with 8 divisors.