The number 87664
87664 is a composite number with 10 divisors. Its prime factorisation is × 5479. Divisors (10): 1, 2, 4, 8, 16, 5479, 10958, 21916, 43832, 87664.
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How to work it out
- 1
87664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87664 is composite. Its prime factorisation is
- 3
The divisors add up to 169880; without 87664 itself that is 82216, so 87664 is deficient (82216 is less than 87664). Euler's totient φ(87664) = 43824 numbers up to 87664 share no factor with it.
- 4
The digits of 87664 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87664 = 2^{4} \times 5479 \]87664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 169880 |
| Euler totient φ(n) | 43824 |
| Square | 7684976896 |
| Cube | 673695814610944 |
| Square root | 296.081070 (= 4√5479) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7664 × |
87664 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and sixty-four |
| Binary (base 2) | 10101011001110000 |
| Octal (base 8) | 253160 |
| Hexadecimal (base 16) | 15670 |
| Base 3 | 11110020211 |
| As time | 87664 seconds = 24 h 21 min 4 s |
Is 87664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87664 ÷ 2 = 43832) | 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 | Yes (87664 ÷ 4 = 21916) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (87664 ÷ 8 = 10958) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87664 a prime number?
No. 87664 = × 5479, so it is divisible by 2.
What are the factors of 87664?
1, 2, 4, 8, 16, 5479, 10958, 21916, 43832, 87664.
What is 87664 in binary?
10101011001110000 (hexadecimal 15670, octal 253160).
What is the square root of 87664?
About 296.0811, exactly 4√5479.
Is 87664 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87664?
It is a composite number with 10 divisors.