The number 88025
88025 is a composite number with 12 divisors. Its prime factorisation is × 7 × 503. Divisors (12): 1, 5, 7, 25, 35, 175, 503, 2515, 3521, 12575, 17605, 88025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88025 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 88025 itself that is 36967, so 88025 is deficient (36967 is less than 88025). Euler's totient φ(88025) = 60240 numbers up to 88025 share no factor with it.
- 4
The digits of 88025 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88025 = 5^{2} \times 7 \times 503 \]88025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 60240 |
| Square | 7748400625 |
| Cube | 682052965015625 |
| Square root | 296.690074 (= 5√3521) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.8025 × |
88025 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twenty-five |
| Binary (base 2) | 10101011111011001 |
| Octal (base 8) | 253731 |
| Hexadecimal (base 16) | 157D9 |
| Base 3 | 11110202012 |
| As time | 88025 seconds = 24 h 27 min 5 s |
Is 88025 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 | No (remainder 2) | 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 (88025 ÷ 5 = 17605) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88025 ÷ 7 = 12575) | 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 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88025 a prime number?
No. 88025 = × 7 × 503, so it is divisible by 5.
What are the factors of 88025?
1, 5, 7, 25, 35, 175, 503, 2515, 3521, 12575, 17605, 88025.
What is 88025 in binary?
10101011111011001 (hexadecimal 157D9, octal 253731).
What is the square root of 88025?
About 296.6901, exactly 5√3521.
Is 88025 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 88025?
It is a composite number with 12 divisors.