The number 87006
87006 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 853. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 853, 1706, 2559, 5118, 14501, 29002, 43503, 87006.
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How to work it out
- 1
87006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87006 is composite. Its prime factorisation is
- 3
The divisors add up to 184464; without 87006 itself that is 97458, so 87006 is abundant (97458 is more than 87006). Euler's totient φ(87006) = 27264 numbers up to 87006 share no factor with it.
- 4
The digits of 87006 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87006 = 2 \times 3 \times 17 \times 853 \]
87006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 184464 |
| Euler totient φ(n) | 27264 |
| Square | 7570044036 |
| Cube | 658639251396216 |
| Square root | 294.967795 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7006 × |
87006 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and six |
| Binary (base 2) | 10101001111011110 |
| Octal (base 8) | 251736 |
| Hexadecimal (base 16) | 153DE |
| Base 3 | 11102100110 |
| As time | 87006 seconds = 24 h 10 min 6 s |
Is 87006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87006 ÷ 2 = 43503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87006 ÷ 3 = 29002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87006 ÷ 6 = 14501) | 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 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 6) | 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 87006 a prime number?
No. 87006 = 2 × 3 × 17 × 853, so it is divisible by 2.
What are the factors of 87006?
1, 2, 3, 6, 17, 34, 51, 102, 853, 1706, 2559, 5118, 14501, 29002, 43503, 87006.
What is 87006 in binary?
10101001111011110 (hexadecimal 153DE, octal 251736).
What is the square root of 87006?
About 294.9678.
Is 87006 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 87006?
It is a composite number with 16 divisors.