The number 87888
87888 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1831. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1831, 3662, 5493, 7324, 10986, 14648 … 87888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87888 is composite. Its prime factorisation is
- 3
The divisors add up to 227168; without 87888 itself that is 139280, so 87888 is abundant (139280 is more than 87888). Euler's totient φ(87888) = 29280 numbers up to 87888 share no factor with it.
- 4
The digits of 87888 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87888 = 2^{4} \times 3 \times 1831 \]87888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 227168 |
| Euler totient φ(n) | 29280 |
| Square | 7724300544 |
| Cube | 678873326211072 |
| Square root | 296.459103 (= 4√5493) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7888 × |
87888 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and eighty-eight |
| Binary (base 2) | 10101011101010000 |
| Octal (base 8) | 253520 |
| Hexadecimal (base 16) | 15750 |
| Base 3 | 11110120010 |
| As time | 87888 seconds = 24 h 24 min 48 s |
Is 87888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87888 ÷ 2 = 43944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87888 ÷ 3 = 29296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87888 ÷ 4 = 21972) | 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 | Yes (87888 ÷ 6 = 14648) | 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 (87888 ÷ 8 = 10986) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (87888 ÷ 12 = 7324) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87888 a prime number?
No. 87888 = × 3 × 1831, so it is divisible by 2.
What are the factors of 87888?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1831, 3662, 5493, 7324, 10986, 14648, 21972, 29296, 43944, 87888.
What is 87888 in binary?
10101011101010000 (hexadecimal 15750, octal 253520).
What is the square root of 87888?
About 296.4591, exactly 4√5493.
Is 87888 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 87888?
It is a composite number with 20 divisors.