The number 86427
86427 is a composite number with 20 divisors. Its prime factorisation is × 11 × 97. Divisors (20): 1, 3, 9, 11, 27, 33, 81, 97, 99, 291, 297, 873, 891, 1067, 2619, 3201 … 86427.
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How to work it out
- 1
What is special about 86427: a Harshad number: divisible by its digit sum 27.
- 2
86427 is composite. Its prime factorisation is
- 3
The divisors add up to 142296; without 86427 itself that is 55869, so 86427 is deficient (55869 is less than 86427). Euler's totient φ(86427) = 51840 numbers up to 86427 share no factor with it.
- 4
The digits of 86427 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 86427 = 3^{4} \times 11 \times 97 \]86427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 142296 |
| Euler totient φ(n) | 51840 |
| Square | 7469626329 |
| Cube | 645577394736483 |
| Square root | 293.984693 (= 9√1067) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.6427 × |
86427 in other forms
| Form | Value |
|---|---|
| In words | eighty-six thousand four hundred and twenty-seven |
| Binary (base 2) | 10101000110011011 |
| Octal (base 8) | 250633 |
| Hexadecimal (base 16) | 1519B |
| Base 3 | 11101120000 |
| As time | 86427 seconds = 24 h 0 min 27 s |
Is 86427 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (86427 ÷ 3 = 28809) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (86427 ÷ 9 = 9603) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (86427 ÷ 11 = 7857) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 86427 a prime number?
No. 86427 = × 11 × 97, so it is divisible by 3.
What are the factors of 86427?
1, 3, 9, 11, 27, 33, 81, 97, 99, 291, 297, 873, 891, 1067, 2619, 3201, 7857, 9603, 28809, 86427.
What is 86427 in binary?
10101000110011011 (hexadecimal 1519B, octal 250633).
What is the square root of 86427?
About 293.9847, exactly 9√1067.
Is 86427 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 86427?
86427 is a Harshad number: divisible by its digit sum 27.