The number 87108
87108 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 17 × 61. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 61, 68 … 87108.
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How to work it out
- 1
87108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87108 is composite. Its prime factorisation is
- 3
The divisors add up to 249984; without 87108 itself that is 162876, so 87108 is abundant (162876 is more than 87108). Euler's totient φ(87108) = 23040 numbers up to 87108 share no factor with it.
- 4
The digits of 87108 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87108 = 2^{2} \times 3 \times 7 \times 17 \times 61 \]87108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 249984 |
| Euler totient φ(n) | 23040 |
| Square | 7587803664 |
| Cube | 660958401563712 |
| Square root | 295.140644 (= 2√21777) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7108 × |
87108 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and eight |
| Binary (base 2) | 10101010001000100 |
| Octal (base 8) | 252104 |
| Hexadecimal (base 16) | 15444 |
| Base 3 | 11102111020 |
| As time | 87108 seconds = 24 h 11 min 48 s |
Is 87108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87108 ÷ 2 = 43554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87108 ÷ 3 = 29036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87108 ÷ 4 = 21777) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87108 ÷ 6 = 14518) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87108 ÷ 7 = 12444) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (87108 ÷ 12 = 7259) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87108 a prime number?
No. 87108 = × 3 × 7 × 17 × 61, so it is divisible by 2.
What are the factors of 87108?
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 61, 68, 84, 102, 119, 122, 183, 204, 238, 244, 357, 366, 427, 476, 714, 732, 854, 1037, 1281, 1428, 1708, 2074, 2562, 3111, 4148, 5124, 6222, 7259, 12444, 14518, 21777, 29036, 43554, 87108.
What is 87108 in binary?
10101010001000100 (hexadecimal 15444, octal 252104).
What is the square root of 87108?
About 295.1406, exactly 2√21777.
Is 87108 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87108?
It is a composite number with 48 divisors.