The number 86142
86142 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 293. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 293, 294, 586, 879, 1758 … 86142.
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How to work it out
- 1
What is special about 86142: a Harshad number: divisible by its digit sum 21.
- 2
86142 is composite. Its prime factorisation is
- 3
The divisors add up to 201096; without 86142 itself that is 114954, so 86142 is abundant (114954 is more than 86142). Euler's totient φ(86142) = 24528 numbers up to 86142 share no factor with it.
- 4
The digits of 86142 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 86142 = 2 \times 3 \times 7^{2} \times 293 \]86142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 201096 |
| Euler totient φ(n) | 24528 |
| Square | 7420444164 |
| Cube | 639211901175288 |
| Square root | 293.499574 (= 7√1758) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.6142 × |
86142 in other forms
| Form | Value |
|---|---|
| In words | eighty-six thousand one hundred and forty-two |
| Binary (base 2) | 10101000001111110 |
| Octal (base 8) | 250176 |
| Hexadecimal (base 16) | 1507E |
| Base 3 | 11101011110 |
| As time | 86142 seconds = 23 h 55 min 42 s |
Is 86142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (86142 ÷ 2 = 43071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (86142 ÷ 3 = 28714) | 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 (86142 ÷ 6 = 14357) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (86142 ÷ 7 = 12306) | 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 3) | 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 1) | 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 86142 a prime number?
No. 86142 = 2 × 3 × × 293, so it is divisible by 2.
What are the factors of 86142?
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 293, 294, 586, 879, 1758, 2051, 4102, 6153, 12306, 14357, 28714, 43071, 86142.
What is 86142 in binary?
10101000001111110 (hexadecimal 1507E, octal 250176).
What is the square root of 86142?
About 293.4996, exactly 7√1758.
Is 86142 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 86142?
86142 is a Harshad number: divisible by its digit sum 21.