The number 87087
87087 is a composite number with 32 divisors. Its prime factorisation is 3 × 7 × 11 × 13 × 29. Divisors (32): 1, 3, 7, 11, 13, 21, 29, 33, 39, 77, 87, 91, 143, 203, 231, 273 … 87087.
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How to work it out
- 1
What is special about 87087: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87087 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 87087 itself that is 74193, so 87087 is deficient (74193 is less than 87087). Euler's totient φ(87087) = 40320 numbers up to 87087 share no factor with it.
- 4
The digits of 87087 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 332 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87087 = 3 \times 7 \times 11 \times 13 \times 29 \]
87087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 40320 |
| Square | 7584145569 |
| Cube | 660480485167503 |
| Square root | 295.105066 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 332 |
| Scientific notation | 8.7087 × |
87087 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and eighty-seven |
| Binary (base 2) | 10101010000101111 |
| Octal (base 8) | 252057 |
| Hexadecimal (base 16) | 1542F |
| Base 3 | 11102110110 |
| As time | 87087 seconds = 24 h 11 min 27 s |
Is 87087 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 (87087 ÷ 3 = 29029) | 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 | Yes (87087 ÷ 7 = 12441) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87087 ÷ 11 = 7917) | 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 87087 a prime number?
No. 87087 = 3 × 7 × 11 × 13 × 29, so it is divisible by 3.
What are the factors of 87087?
1, 3, 7, 11, 13, 21, 29, 33, 39, 77, 87, 91, 143, 203, 231, 273, 319, 377, 429, 609, 957, 1001, 1131, 2233, 2639, 3003, 4147, 6699, 7917, 12441, 29029, 87087.
What is 87087 in binary?
10101010000101111 (hexadecimal 1542F, octal 252057).
What is the square root of 87087?
About 295.1051.
Is 87087 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87087?
87087 is a happy number: repeatedly adding the squares of its digits reaches 1.