The number 77042
77042 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 5503. Divisors (8): 1, 2, 7, 14, 5503, 11006, 38521, 77042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77042 is composite. Its prime factorisation is
- 3
The divisors add up to 132096; without 77042 itself that is 55054, so 77042 is deficient (55054 is less than 77042). Euler's totient φ(77042) = 33012 numbers up to 77042 share no factor with it.
- 4
The digits of 77042 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77042 = 2 \times 7 \times 5503 \]
77042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 132096 |
| Euler totient φ(n) | 33012 |
| Square | 5935469764 |
| Cube | 457280461558088 |
| Square root | 277.564407 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7042 × |
77042 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and forty-two |
| Binary (base 2) | 10010110011110010 |
| Octal (base 8) | 226362 |
| Hexadecimal (base 16) | 12CF2 |
| Base 3 | 10220200102 |
| As time | 77042 seconds = 21 h 24 min 2 s |
Is 77042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77042 ÷ 2 = 38521) | 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 | Yes (77042 ÷ 7 = 11006) | 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 2) | 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 9) | 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 77042 a prime number?
No. 77042 = 2 × 7 × 5503, so it is divisible by 2.
What are the factors of 77042?
1, 2, 7, 14, 5503, 11006, 38521, 77042.
What is 77042 in binary?
10010110011110010 (hexadecimal 12CF2, octal 226362).
What is the square root of 77042?
About 277.5644.
Is 77042 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77042?
It is a composite number with 8 divisors.