The number 87328
87328 is a composite number with 12 divisors. Its prime factorisation is × 2729. Divisors (12): 1, 2, 4, 8, 16, 32, 2729, 5458, 10916, 21832, 43664, 87328.
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How to work it out
- 1
What is special about 87328: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87328 is composite. Its prime factorisation is
- 3
The divisors add up to 171990; without 87328 itself that is 84662, so 87328 is deficient (84662 is less than 87328). Euler's totient φ(87328) = 43648 numbers up to 87328 share no factor with it.
- 4
The digits of 87328 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87328 = 2^{5} \times 2729 \]87328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 171990 |
| Euler totient φ(n) | 43648 |
| Square | 7626179584 |
| Cube | 665979010711552 |
| Square root | 295.513113 (= 4√5458) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7328 × |
87328 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and twenty-eight |
| Binary (base 2) | 10101010100100000 |
| Octal (base 8) | 252440 |
| Hexadecimal (base 16) | 15520 |
| Base 3 | 11102210101 |
| As time | 87328 seconds = 24 h 15 min 28 s |
Is 87328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87328 ÷ 2 = 43664) | 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 (87328 ÷ 4 = 21832) | 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 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 (87328 ÷ 8 = 10916) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 87328 a prime number?
No. 87328 = × 2729, so it is divisible by 2.
What are the factors of 87328?
1, 2, 4, 8, 16, 32, 2729, 5458, 10916, 21832, 43664, 87328.
What is 87328 in binary?
10101010100100000 (hexadecimal 15520, octal 252440).
What is the square root of 87328?
About 295.5131, exactly 4√5458.
Is 87328 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87328?
87328 is a happy number: repeatedly adding the squares of its digits reaches 1.