The number 88750
88750 is a composite number with 20 divisors. Its prime factorisation is 2 × × 71. Divisors (20): 1, 2, 5, 10, 25, 50, 71, 125, 142, 250, 355, 625, 710, 1250, 1775, 3550 … 88750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88750 is composite. Its prime factorisation is
- 3
The divisors add up to 168696; without 88750 itself that is 79946, so 88750 is deficient (79946 is less than 88750). Euler's totient φ(88750) = 35000 numbers up to 88750 share no factor with it.
- 4
The digits of 88750 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88750 = 2 \times 5^{4} \times 71 \]88750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 168696 |
| Euler totient φ(n) | 35000 |
| Square | 7876562500 |
| Cube | 699044921875000 |
| Square root | 297.909382 (= 25√142) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.875 × |
88750 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand seven hundred and fifty |
| Binary (base 2) | 10101101010101110 |
| Octal (base 8) | 255256 |
| Hexadecimal (base 16) | 15AAE |
| Base 3 | 11111202001 |
| As time | 88750 seconds = 24 h 39 min 10 s |
Is 88750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88750 ÷ 2 = 44375) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88750 ÷ 5 = 17750) | 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 4) | 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 6) | 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 | Yes (88750 ÷ 10 = 8875) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88750 a prime number?
No. 88750 = 2 × × 71, so it is divisible by 2.
What are the factors of 88750?
1, 2, 5, 10, 25, 50, 71, 125, 142, 250, 355, 625, 710, 1250, 1775, 3550, 8875, 17750, 44375, 88750.
What is 88750 in binary?
10101101010101110 (hexadecimal 15AAE, octal 255256).
What is the square root of 88750?
About 297.9094, exactly 25√142.
Is 88750 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88750?
It is a composite number with 20 divisors.