The number 87867
87867 is a composite number with 12 divisors. Its prime factorisation is × 13 × 751. Divisors (12): 1, 3, 9, 13, 39, 117, 751, 2253, 6759, 9763, 29289, 87867.
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How to work it out
- 1
What is special about 87867: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87867 is composite. Its prime factorisation is
- 3
The divisors add up to 136864; without 87867 itself that is 48997, so 87867 is deficient (48997 is less than 87867). Euler's totient φ(87867) = 54000 numbers up to 87867 share no factor with it.
- 4
The digits of 87867 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87867 = 3^{2} \times 13 \times 751 \]87867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 136864 |
| Euler totient φ(n) | 54000 |
| Square | 7720609689 |
| Cube | 678386811543363 |
| Square root | 296.423683 (= 3√9763) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7867 × |
87867 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and sixty-seven |
| Binary (base 2) | 10101011100111011 |
| Octal (base 8) | 253473 |
| Hexadecimal (base 16) | 1573B |
| Base 3 | 11110112100 |
| As time | 87867 seconds = 24 h 24 min 27 s |
Is 87867 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 (87867 ÷ 3 = 29289) | 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 3) | 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 (87867 ÷ 9 = 9763) | 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 | No (remainder 10) | 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 87867 a prime number?
No. 87867 = × 13 × 751, so it is divisible by 3.
What are the factors of 87867?
1, 3, 9, 13, 39, 117, 751, 2253, 6759, 9763, 29289, 87867.
What is 87867 in binary?
10101011100111011 (hexadecimal 1573B, octal 253473).
What is the square root of 87867?
About 296.4237, exactly 3√9763.
Is 87867 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87867?
87867 is a happy number: repeatedly adding the squares of its digits reaches 1.