The number 87001
87001 is a composite number with 6 divisors. Its prime factorisation is Ć 241. Divisors (6): 1, 19, 241, 361, 4579, 87001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87001 is composite. Its prime factorisation is
- 3
The divisors add up to 92202; without 87001 itself that is 5201, so 87001 is deficient (5201 is less than 87001). Euler's totient Ļ(87001) = 82080 numbers up to 87001 share no factor with it.
- 4
The digits of 87001 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87001 = 19^{2} \times 241 \]87001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 92202 |
| Euler totient Ļ(n) | 82080 |
| Square | 7569174001 |
| Cube | 658525707261001 |
| Square root | 294.959319 (= 19ā241) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7001 Ć |
87001 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and one |
| Binary (base 2) | 10101001111011001 |
| Octal (base 8) | 251731 |
| Hexadecimal (base 16) | 153D9 |
| Base 3 | 11102100021 |
| As time | 87001 seconds = 24 h 10 min 1 s |
Is 87001 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87001 a prime number?
No. 87001 = Ć 241, so it is divisible by 19.
What are the factors of 87001?
1, 19, 241, 361, 4579, 87001.
What is 87001 in binary?
10101001111011001 (hexadecimal 153D9, octal 251731).
What is the square root of 87001?
About 294.9593, exactly 19ā241.
Is 87001 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 87001?
It is a composite number with 6 divisors.