The number 73825
73825 is a composite number with 6 divisors. Its prime factorisation is Ć 2953. Divisors (6): 1, 5, 25, 2953, 14765, 73825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73825: a Harshad number: divisible by its digit sum 25.
- 2
73825 is composite. Its prime factorisation is
- 3
The divisors add up to 91574; without 73825 itself that is 17749, so 73825 is deficient (17749 is less than 73825). Euler's totient Ļ(73825) = 59040 numbers up to 73825 share no factor with it.
- 4
The digits of 73825 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73825 = 5^{2} \times 2953 \]73825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 91574 |
| Euler totient Ļ(n) | 59040 |
| Square | 5450130625 |
| Cube | 402355893390625 |
| Square root | 271.707563 (= 5ā2953) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3825 Ć |
73825 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and twenty-five |
| Binary (base 2) | 10010000001100001 |
| Octal (base 8) | 220141 |
| Hexadecimal (base 16) | 12061 |
| Base 3 | 10202021021 |
| As time | 73825 seconds = 20 h 30 min 25 s |
Is 73825 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 (73825 Ć· 5 = 14765) | 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 3) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73825 a prime number?
No. 73825 = Ć 2953, so it is divisible by 5.
What are the factors of 73825?
1, 5, 25, 2953, 14765, 73825.
What is 73825 in binary?
10010000001100001 (hexadecimal 12061, octal 220141).
What is the square root of 73825?
About 271.7076, exactly 5ā2953.
Is 73825 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73825?
73825 is a Harshad number: divisible by its digit sum 25.