The number 84742
84742 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 6053. Divisors (8): 1, 2, 7, 14, 6053, 12106, 42371, 84742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84742 is composite. Its prime factorisation is
- 3
The divisors add up to 145296; without 84742 itself that is 60554, so 84742 is deficient (60554 is less than 84742). Euler's totient φ(84742) = 36312 numbers up to 84742 share no factor with it.
- 4
The digits of 84742 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84742 = 2 \times 7 \times 6053 \]
84742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 145296 |
| Euler totient φ(n) | 36312 |
| Square | 7181206564 |
| Cube | 608549806646488 |
| Square root | 291.104792 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.4742 × |
84742 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand seven hundred and forty-two |
| Binary (base 2) | 10100101100000110 |
| Octal (base 8) | 245406 |
| Hexadecimal (base 16) | 14B06 |
| Base 3 | 11022020121 |
| As time | 84742 seconds = 23 h 32 min 22 s |
Is 84742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84742 ÷ 2 = 42371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (84742 ÷ 7 = 12106) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84742 a prime number?
No. 84742 = 2 × 7 × 6053, so it is divisible by 2.
What are the factors of 84742?
1, 2, 7, 14, 6053, 12106, 42371, 84742.
What is 84742 in binary?
10100101100000110 (hexadecimal 14B06, octal 245406).
What is the square root of 84742?
About 291.1048.
Is 84742 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 84742?
It is a composite number with 8 divisors.