The number 87388
87388 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3121. Divisors (12): 1, 2, 4, 7, 14, 28, 3121, 6242, 12484, 21847, 43694, 87388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87388 is composite. Its prime factorisation is
- 3
The divisors add up to 174832; without 87388 itself that is 87444, so 87388 is abundant (87444 is more than 87388). Euler's totient φ(87388) = 37440 numbers up to 87388 share no factor with it.
- 4
The digits of 87388 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87388 = 2^{2} \times 7 \times 3121 \]87388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 174832 |
| Euler totient φ(n) | 37440 |
| Square | 7636662544 |
| Cube | 667352666395072 |
| Square root | 295.614614 (= 2√21847) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7388 × |
87388 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and eighty-eight |
| Binary (base 2) | 10101010101011100 |
| Octal (base 8) | 252534 |
| Hexadecimal (base 16) | 1555C |
| Base 3 | 11102212121 |
| As time | 87388 seconds = 24 h 16 min 28 s |
Is 87388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87388 ÷ 2 = 43694) | 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 (87388 ÷ 4 = 21847) | 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 | Yes (87388 ÷ 7 = 12484) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 87388 a prime number?
No. 87388 = × 7 × 3121, so it is divisible by 2.
What are the factors of 87388?
1, 2, 4, 7, 14, 28, 3121, 6242, 12484, 21847, 43694, 87388.
What is 87388 in binary?
10101010101011100 (hexadecimal 1555C, octal 252534).
What is the square root of 87388?
About 295.6146, exactly 2√21847.
Is 87388 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 87388?
It is a composite number with 12 divisors.