The number 87201
87201 is a composite number with 6 divisors. Its prime factorisation is × 9689. Divisors (6): 1, 3, 9, 9689, 29067, 87201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87201 is composite. Its prime factorisation is
- 3
The divisors add up to 125970; without 87201 itself that is 38769, so 87201 is deficient (38769 is less than 87201). Euler's totient φ(87201) = 58128 numbers up to 87201 share no factor with it.
- 4
The digits of 87201 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87201 = 3^{2} \times 9689 \]87201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 125970 |
| Euler totient φ(n) | 58128 |
| Square | 7604014401 |
| Cube | 663077659781601 |
| Square root | 295.298154 (= 3√9689) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7201 × |
87201 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and one |
| Binary (base 2) | 10101010010100001 |
| Octal (base 8) | 252241 |
| Hexadecimal (base 16) | 154A1 |
| Base 3 | 11102121200 |
| As time | 87201 seconds = 24 h 13 min 21 s |
Is 87201 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 (87201 ÷ 3 = 29067) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (87201 ÷ 9 = 9689) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87201 a prime number?
No. 87201 = × 9689, so it is divisible by 3.
What are the factors of 87201?
1, 3, 9, 9689, 29067, 87201.
What is 87201 in binary?
10101010010100001 (hexadecimal 154A1, octal 252241).
What is the square root of 87201?
About 295.2982, exactly 3√9689.
Is 87201 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 87201?
It is a composite number with 6 divisors.