The number 86742
86742 is a composite number with 24 divisors. Its prime factorisation is 2 × × 61 × 79. Divisors (24): 1, 2, 3, 6, 9, 18, 61, 79, 122, 158, 183, 237, 366, 474, 549, 711 … 86742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
86742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
86742 is composite. Its prime factorisation is
- 3
The divisors add up to 193440; without 86742 itself that is 106698, so 86742 is abundant (106698 is more than 86742). Euler's totient φ(86742) = 28080 numbers up to 86742 share no factor with it.
- 4
The digits of 86742 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 86742 = 2 \times 3^{2} \times 61 \times 79 \]86742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 193440 |
| Euler totient φ(n) | 28080 |
| Square | 7524174564 |
| Cube | 652661950030488 |
| Square root | 294.519948 (= 3√9638) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.6742 × |
86742 in other forms
| Form | Value |
|---|---|
| In words | eighty-six thousand seven hundred and forty-two |
| Binary (base 2) | 10101001011010110 |
| Octal (base 8) | 251326 |
| Hexadecimal (base 16) | 152D6 |
| Base 3 | 11101222200 |
| As time | 86742 seconds = 24 h 5 min 42 s |
Is 86742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (86742 ÷ 2 = 43371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (86742 ÷ 3 = 28914) | 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 (86742 ÷ 6 = 14457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (86742 ÷ 9 = 9638) | 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 7) | 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 86742 a prime number?
No. 86742 = 2 × × 61 × 79, so it is divisible by 2.
What are the factors of 86742?
1, 2, 3, 6, 9, 18, 61, 79, 122, 158, 183, 237, 366, 474, 549, 711, 1098, 1422, 4819, 9638, 14457, 28914, 43371, 86742.
What is 86742 in binary?
10101001011010110 (hexadecimal 152D6, octal 251326).
What is the square root of 86742?
About 294.5199, exactly 3√9638.
Is 86742 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 86742?
It is a composite number with 24 divisors.