The number 72325
72325 is a composite number with 12 divisors. Its prime factorisation is × 11 × 263. Divisors (12): 1, 5, 11, 25, 55, 263, 275, 1315, 2893, 6575, 14465, 72325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72325: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72325 is composite. Its prime factorisation is
- 3
The divisors add up to 98208; without 72325 itself that is 25883, so 72325 is deficient (25883 is less than 72325). Euler's totient φ(72325) = 52400 numbers up to 72325 share no factor with it.
- 4
The digits of 72325 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72325 = 5^{2} \times 11 \times 263 \]72325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98208 |
| Euler totient φ(n) | 52400 |
| Square | 5230905625 |
| Cube | 378325249328125 |
| Square root | 268.933077 (= 5√2893) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2325 × |
72325 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and twenty-five |
| Binary (base 2) | 10001101010000101 |
| Octal (base 8) | 215205 |
| Hexadecimal (base 16) | 11A85 |
| Base 3 | 10200012201 |
| As time | 72325 seconds = 20 h 5 min 25 s |
Is 72325 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 (72325 ÷ 5 = 14465) | 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 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 5) | 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 | Yes (72325 ÷ 11 = 6575) | 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 72325 a prime number?
No. 72325 = × 11 × 263, so it is divisible by 5.
What are the factors of 72325?
1, 5, 11, 25, 55, 263, 275, 1315, 2893, 6575, 14465, 72325.
What is 72325 in binary?
10001101010000101 (hexadecimal 11A85, octal 215205).
What is the square root of 72325?
About 268.9331, exactly 5√2893.
Is 72325 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72325?
72325 is a happy number: repeatedly adding the squares of its digits reaches 1.