The number 74325
74325 is a composite number with 12 divisors. Its prime factorisation is 3 × × 991. Divisors (12): 1, 3, 5, 15, 25, 75, 991, 2973, 4955, 14865, 24775, 74325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74325: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74325 is composite. Its prime factorisation is
- 3
The divisors add up to 123008; without 74325 itself that is 48683, so 74325 is deficient (48683 is less than 74325). Euler's totient φ(74325) = 39600 numbers up to 74325 share no factor with it.
- 4
The digits of 74325 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74325 = 3 \times 5^{2} \times 991 \]74325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123008 |
| Euler totient φ(n) | 39600 |
| Square | 5524205625 |
| Cube | 410586583078125 |
| Square root | 272.626118 (= 5√2973) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4325 × |
74325 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and twenty-five |
| Binary (base 2) | 10010001001010101 |
| Octal (base 8) | 221125 |
| Hexadecimal (base 16) | 12255 |
| Base 3 | 10202221210 |
| As time | 74325 seconds = 20 h 38 min 45 s |
Is 74325 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 | Yes (74325 ÷ 3 = 24775) | 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 (74325 ÷ 5 = 14865) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74325 a prime number?
No. 74325 = 3 × × 991, so it is divisible by 3.
What are the factors of 74325?
1, 3, 5, 15, 25, 75, 991, 2973, 4955, 14865, 24775, 74325.
What is 74325 in binary?
10010001001010101 (hexadecimal 12255, octal 221125).
What is the square root of 74325?
About 272.6261, exactly 5√2973.
Is 74325 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74325?
74325 is a happy number: repeatedly adding the squares of its digits reaches 1.