The number 76442
76442 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 1033. Divisors (8): 1, 2, 37, 74, 1033, 2066, 38221, 76442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76442 is composite. Its prime factorisation is
- 3
The divisors add up to 117876; without 76442 itself that is 41434, so 76442 is deficient (41434 is less than 76442). Euler's totient φ(76442) = 37152 numbers up to 76442 share no factor with it.
- 4
The digits of 76442 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76442 = 2 \times 37 \times 1033 \]
76442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 117876 |
| Euler totient φ(n) | 37152 |
| Square | 5843379364 |
| Cube | 446679605342888 |
| Square root | 276.481464 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6442 × |
76442 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and forty-two |
| Binary (base 2) | 10010101010011010 |
| Octal (base 8) | 225232 |
| Hexadecimal (base 16) | 12A9A |
| Base 3 | 10212212012 |
| As time | 76442 seconds = 21 h 14 min 2 s |
Is 76442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76442 ÷ 2 = 38221) | 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 2) | 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 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 76442 a prime number?
No. 76442 = 2 × 37 × 1033, so it is divisible by 2.
What are the factors of 76442?
1, 2, 37, 74, 1033, 2066, 38221, 76442.
What is 76442 in binary?
10010101010011010 (hexadecimal 12A9A, octal 225232).
What is the square root of 76442?
About 276.4815.
Is 76442 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 76442?
It is a composite number with 8 divisors.