The number 73225
73225 is a composite number with 12 divisors. Its prime factorisation is × 29 × 101. Divisors (12): 1, 5, 25, 29, 101, 145, 505, 725, 2525, 2929, 14645, 73225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73225 is composite. Its prime factorisation is
- 3
The divisors add up to 94860; without 73225 itself that is 21635, so 73225 is deficient (21635 is less than 73225). Euler's totient φ(73225) = 56000 numbers up to 73225 share no factor with it.
- 4
The digits of 73225 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73225 = 5^{2} \times 29 \times 101 \]73225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94860 |
| Euler totient φ(n) | 56000 |
| Square | 5361900625 |
| Cube | 392625173265625 |
| Square root | 270.601183 (= 5√2929) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.3225 × |
73225 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and twenty-five |
| Binary (base 2) | 10001111000001001 |
| Octal (base 8) | 217011 |
| Hexadecimal (base 16) | 11E09 |
| Base 3 | 10201110001 |
| As time | 73225 seconds = 20 h 20 min 25 s |
Is 73225 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 (73225 ÷ 5 = 14645) | 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 5) | 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 1) | 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 9) | 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 73225 a prime number?
No. 73225 = × 29 × 101, so it is divisible by 5.
What are the factors of 73225?
1, 5, 25, 29, 101, 145, 505, 725, 2525, 2929, 14645, 73225.
What is 73225 in binary?
10001111000001001 (hexadecimal 11E09, octal 217011).
What is the square root of 73225?
About 270.6012, exactly 5√2929.
Is 73225 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73225?
73225 is a happy number: repeatedly adding the squares of its digits reaches 1.