The number 77442
77442 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12907. Divisors (8): 1, 2, 3, 6, 12907, 25814, 38721, 77442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77442 is composite. Its prime factorisation is
- 3
The divisors add up to 154896; without 77442 itself that is 77454, so 77442 is abundant (77454 is more than 77442). Euler's totient φ(77442) = 25812 numbers up to 77442 share no factor with it.
- 4
The digits of 77442 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77442 = 2 \times 3 \times 12907 \]
77442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 154896 |
| Euler totient φ(n) | 25812 |
| Square | 5997263364 |
| Cube | 464440069434888 |
| Square root | 278.284028 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7442 × |
77442 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and forty-two |
| Binary (base 2) | 10010111010000010 |
| Octal (base 8) | 227202 |
| Hexadecimal (base 16) | 12E82 |
| Base 3 | 10221020020 |
| As time | 77442 seconds = 21 h 30 min 42 s |
Is 77442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77442 ÷ 2 = 38721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77442 ÷ 3 = 25814) | 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 | Yes (77442 ÷ 6 = 12907) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77442 a prime number?
No. 77442 = 2 × 3 × 12907, so it is divisible by 2.
What are the factors of 77442?
1, 2, 3, 6, 12907, 25814, 38721, 77442.
What is 77442 in binary?
10010111010000010 (hexadecimal 12E82, octal 227202).
What is the square root of 77442?
About 278.2840.
Is 77442 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77442?
It is a composite number with 8 divisors.