The number 87102
87102 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1613. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1613, 3226, 4839, 9678, 14517, 29034, 43551, 87102.
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How to work it out
- 1
What is special about 87102: a Harshad number: divisible by its digit sum 18.
- 2
87102 is composite. Its prime factorisation is
- 3
The divisors add up to 193680; without 87102 itself that is 106578, so 87102 is abundant (106578 is more than 87102). Euler's totient φ(87102) = 29016 numbers up to 87102 share no factor with it.
- 4
The digits of 87102 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87102 = 2 \times 3^{3} \times 1613 \]87102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 193680 |
| Euler totient φ(n) | 29016 |
| Square | 7586758404 |
| Cube | 660821830505208 |
| Square root | 295.130480 (= 3√9678) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7102 × |
87102 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and two |
| Binary (base 2) | 10101010000111110 |
| Octal (base 8) | 252076 |
| Hexadecimal (base 16) | 1543E |
| Base 3 | 11102111000 |
| As time | 87102 seconds = 24 h 11 min 42 s |
Is 87102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87102 ÷ 2 = 43551) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87102 ÷ 3 = 29034) | 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 (87102 ÷ 6 = 14517) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (87102 ÷ 9 = 9678) | 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 4) | 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 87102 a prime number?
No. 87102 = 2 × × 1613, so it is divisible by 2.
What are the factors of 87102?
1, 2, 3, 6, 9, 18, 27, 54, 1613, 3226, 4839, 9678, 14517, 29034, 43551, 87102.
What is 87102 in binary?
10101010000111110 (hexadecimal 1543E, octal 252076).
What is the square root of 87102?
About 295.1305, exactly 3√9678.
Is 87102 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 87102?
87102 is a Harshad number: divisible by its digit sum 18.