The number 88425
88425 is a composite number with 24 divisors. Its prime factorisation is × × 131. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 75, 131, 135, 225, 393, 655, 675, 1179 … 88425.
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How to work it out
- 1
What is special about 88425: a Harshad number: divisible by its digit sum 27.
- 2
88425 is composite. Its prime factorisation is
- 3
The divisors add up to 163680; without 88425 itself that is 75255, so 88425 is deficient (75255 is less than 88425). Euler's totient φ(88425) = 46800 numbers up to 88425 share no factor with it.
- 4
The digits of 88425 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88425 = 3^{3} \times 5^{2} \times 131 \]88425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163680 |
| Euler totient φ(n) | 46800 |
| Square | 7818980625 |
| Cube | 691393361765625 |
| Square root | 297.363414 (= 15√393) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.8425 × |
88425 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and twenty-five |
| Binary (base 2) | 10101100101101001 |
| Octal (base 8) | 254551 |
| Hexadecimal (base 16) | 15969 |
| Base 3 | 11111022000 |
| As time | 88425 seconds = 24 h 33 min 45 s |
Is 88425 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 (88425 ÷ 3 = 29475) | 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 (88425 ÷ 5 = 17685) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88425 ÷ 9 = 9825) | 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 7) | 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 88425 a prime number?
No. 88425 = × × 131, so it is divisible by 3.
What are the factors of 88425?
1, 3, 5, 9, 15, 25, 27, 45, 75, 131, 135, 225, 393, 655, 675, 1179, 1965, 3275, 3537, 5895, 9825, 17685, 29475, 88425.
What is 88425 in binary?
10101100101101001 (hexadecimal 15969, octal 254551).
What is the square root of 88425?
About 297.3634, exactly 15√393.
Is 88425 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88425?
88425 is a Harshad number: divisible by its digit sum 27.