The number 88825
88825 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 19. Divisors (24): 1, 5, 11, 17, 19, 25, 55, 85, 95, 187, 209, 275, 323, 425, 475, 935 … 88825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88825 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 88825 itself that is 45095, so 88825 is deficient (45095 is less than 88825). Euler's totient φ(88825) = 57600 numbers up to 88825 share no factor with it.
- 4
The digits of 88825 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 208 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88825 = 5^{2} \times 11 \times 17 \times 19 \]88825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 57600 |
| Square | 7889880625 |
| Cube | 700818646515625 |
| Square root | 298.035233 (= 5√3553) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 208 |
| Scientific notation | 8.8825 × |
88825 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and twenty-five |
| Binary (base 2) | 10101101011111001 |
| Octal (base 8) | 255371 |
| Hexadecimal (base 16) | 15AF9 |
| Base 3 | 11111211211 |
| As time | 88825 seconds = 24 h 40 min 25 s |
Is 88825 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 1) | 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 (88825 ÷ 5 = 17765) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (88825 ÷ 11 = 8075) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88825 a prime number?
No. 88825 = × 11 × 17 × 19, so it is divisible by 5.
What are the factors of 88825?
1, 5, 11, 17, 19, 25, 55, 85, 95, 187, 209, 275, 323, 425, 475, 935, 1045, 1615, 3553, 4675, 5225, 8075, 17765, 88825.
What is 88825 in binary?
10101101011111001 (hexadecimal 15AF9, octal 255371).
What is the square root of 88825?
About 298.0352, exactly 5√3553.
Is 88825 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 88825?
It is a composite number with 24 divisors.