The number 7442
7442 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 61, 122, 3721, 7442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7442 is composite. Its prime factorisation is
- 3
The divisors add up to 11349; without 7442 itself that is 3907, so 7442 is deficient (3907 is less than 7442). Euler's totient Ļ(7442) = 3660 numbers up to 7442 share no factor with it.
- 4
The digits of 7442 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7442 = 2 \times 61^{2} \]7442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11349 |
| Euler totient Ļ(n) | 3660 |
| Square | 55383364 |
| Cube | 412162994888 |
| Square root | 86.267027 (= 61ā2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.442 Ć |
7442 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and forty-two |
| Binary (base 2) | 1110100010010 |
| Octal (base 8) | 16422 |
| Hexadecimal (base 16) | 1D12 |
| Base 3 | 101012122 |
| As time | 7442 seconds = 2 h 4 min 2 s |
Is 7442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7442 Ć· 2 = 3721) | 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 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 8) | 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 7442 a prime number?
No. 7442 = 2 Ć , so it is divisible by 2.
What are the factors of 7442?
1, 2, 61, 122, 3721, 7442.
What is 7442 in binary?
1110100010010 (hexadecimal 1D12, octal 16422).
What is the square root of 7442?
About 86.2670, exactly 61ā2.
Is 7442 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7442?
It is a composite number with 6 divisors.