The number 88125
88125 is a composite number with 20 divisors. Its prime factorisation is 3 × × 47. Divisors (20): 1, 3, 5, 15, 25, 47, 75, 125, 141, 235, 375, 625, 705, 1175, 1875, 3525 … 88125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88125 is composite. Its prime factorisation is
- 3
The divisors add up to 149952; without 88125 itself that is 61827, so 88125 is deficient (61827 is less than 88125). Euler's totient φ(88125) = 46000 numbers up to 88125 share no factor with it.
- 4
The digits of 88125 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88125 = 3 \times 5^{4} \times 47 \]88125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 149952 |
| Euler totient φ(n) | 46000 |
| Square | 7766015625 |
| Cube | 684380126953125 |
| Square root | 296.858552 (= 25√141) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8125 × |
88125 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and twenty-five |
| Binary (base 2) | 10101100000111101 |
| Octal (base 8) | 254075 |
| Hexadecimal (base 16) | 1583D |
| Base 3 | 11110212220 |
| As time | 88125 seconds = 24 h 28 min 45 s |
Is 88125 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88125 ÷ 3 = 29375) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88125 ÷ 5 = 17625) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88125 a prime number?
No. 88125 = 3 × × 47, so it is divisible by 3.
What are the factors of 88125?
1, 3, 5, 15, 25, 47, 75, 125, 141, 235, 375, 625, 705, 1175, 1875, 3525, 5875, 17625, 29375, 88125.
What is 88125 in binary?
10101100000111101 (hexadecimal 1583D, octal 254075).
What is the square root of 88125?
About 296.8586, exactly 25√141.
Is 88125 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 88125?
It is a composite number with 20 divisors.