The number 87008
87008 is a composite number with 12 divisors. Its prime factorisation is × 2719. Divisors (12): 1, 2, 4, 8, 16, 32, 2719, 5438, 10876, 21752, 43504, 87008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87008 is composite. Its prime factorisation is
- 3
The divisors add up to 171360; without 87008 itself that is 84352, so 87008 is deficient (84352 is less than 87008). Euler's totient φ(87008) = 43488 numbers up to 87008 share no factor with it.
- 4
The digits of 87008 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87008 = 2^{5} \times 2719 \]87008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 171360 |
| Euler totient φ(n) | 43488 |
| Square | 7570392064 |
| Cube | 658684672704512 |
| Square root | 294.971185 (= 4√5438) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7008 × |
87008 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and eight |
| Binary (base 2) | 10101001111100000 |
| Octal (base 8) | 251740 |
| Hexadecimal (base 16) | 153E0 |
| Base 3 | 11102100112 |
| As time | 87008 seconds = 24 h 10 min 8 s |
Is 87008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87008 ÷ 2 = 43504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87008 ÷ 4 = 21752) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (87008 ÷ 8 = 10876) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87008 a prime number?
No. 87008 = × 2719, so it is divisible by 2.
What are the factors of 87008?
1, 2, 4, 8, 16, 32, 2719, 5438, 10876, 21752, 43504, 87008.
What is 87008 in binary?
10101001111100000 (hexadecimal 153E0, octal 251740).
What is the square root of 87008?
About 294.9712, exactly 4√5438.
Is 87008 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 87008?
It is a composite number with 12 divisors.