The number 88748
88748 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2017. Divisors (12): 1, 2, 4, 11, 22, 44, 2017, 4034, 8068, 22187, 44374, 88748.
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How to work it out
- 1
88748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88748 is composite. Its prime factorisation is
- 3
The divisors add up to 169512; without 88748 itself that is 80764, so 88748 is deficient (80764 is less than 88748). Euler's totient φ(88748) = 40320 numbers up to 88748 share no factor with it.
- 4
The digits of 88748 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88748 = 2^{2} \times 11 \times 2017 \]88748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 169512 |
| Euler totient φ(n) | 40320 |
| Square | 7876207504 |
| Cube | 698997663564992 |
| Square root | 297.906025 (= 2√22187) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.8748 × |
88748 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand seven hundred and forty-eight |
| Binary (base 2) | 10101101010101100 |
| Octal (base 8) | 255254 |
| Hexadecimal (base 16) | 15AAC |
| Base 3 | 11111201222 |
| As time | 88748 seconds = 24 h 39 min 8 s |
Is 88748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88748 ÷ 2 = 44374) | 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 (88748 ÷ 4 = 22187) | 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 2) | 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 8) | 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 | Yes (88748 ÷ 11 = 8068) | 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 88748 a prime number?
No. 88748 = × 11 × 2017, so it is divisible by 2.
What are the factors of 88748?
1, 2, 4, 11, 22, 44, 2017, 4034, 8068, 22187, 44374, 88748.
What is 88748 in binary?
10101101010101100 (hexadecimal 15AAC, octal 255254).
What is the square root of 88748?
About 297.9060, exactly 2√22187.
Is 88748 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 88748?
It is a composite number with 12 divisors.