The number 87009
87009 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 23 × 97. Divisors (16): 1, 3, 13, 23, 39, 69, 97, 291, 299, 897, 1261, 2231, 3783, 6693, 29003, 87009.
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How to work it out
- 1
87009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87009 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 87009 itself that is 44703, so 87009 is deficient (44703 is less than 87009). Euler's totient φ(87009) = 50688 numbers up to 87009 share no factor with it.
- 4
The digits of 87009 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87009 = 3 \times 13 \times 23 \times 97 \]
87009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 50688 |
| Square | 7570566081 |
| Cube | 658707384141729 |
| Square root | 294.972880 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7009 × |
87009 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and nine |
| Binary (base 2) | 10101001111100001 |
| Octal (base 8) | 251741 |
| Hexadecimal (base 16) | 153E1 |
| Base 3 | 11102100120 |
| As time | 87009 seconds = 24 h 10 min 9 s |
Is 87009 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 (87009 ÷ 3 = 29003) | 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 4) | 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 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87009 a prime number?
No. 87009 = 3 × 13 × 23 × 97, so it is divisible by 3.
What are the factors of 87009?
1, 3, 13, 23, 39, 69, 97, 291, 299, 897, 1261, 2231, 3783, 6693, 29003, 87009.
What is 87009 in binary?
10101001111100001 (hexadecimal 153E1, octal 251741).
What is the square root of 87009?
About 294.9729.
Is 87009 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87009?
It is a composite number with 16 divisors.