The number 34425
34425 is a composite number with 30 divisors. Its prime factorisation is × × 17. Divisors (30): 1, 3, 5, 9, 15, 17, 25, 27, 45, 51, 75, 81, 85, 135, 153, 225 … 34425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34425 is composite. Its prime factorisation is
- 3
The divisors add up to 67518; without 34425 itself that is 33093, so 34425 is deficient (33093 is less than 34425). Euler's totient φ(34425) = 17280 numbers up to 34425 share no factor with it.
- 4
The digits of 34425 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34425 = 3^{4} \times 5^{2} \times 17 \]34425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 67518 |
| Euler totient φ(n) | 17280 |
| Square | 1185080625 |
| Cube | 40796400515625 |
| Square root | 185.539753 (= 45√17) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4425 × |
34425 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and twenty-five |
| Binary (base 2) | 1000011001111001 |
| Octal (base 8) | 103171 |
| Hexadecimal (base 16) | 8679 |
| Base 3 | 1202020000 |
| As time | 34425 seconds = 9 h 33 min 45 s |
Is 34425 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 (34425 ÷ 3 = 11475) | 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 (34425 ÷ 5 = 6885) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34425 ÷ 9 = 3825) | 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 6) | 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 34425 a prime number?
No. 34425 = × × 17, so it is divisible by 3.
What are the factors of 34425?
1, 3, 5, 9, 15, 17, 25, 27, 45, 51, 75, 81, 85, 135, 153, 225, 255, 405, 425, 459, 675, 765, 1275, 1377, 2025, 2295, 3825, 6885, 11475, 34425.
What is 34425 in binary?
1000011001111001 (hexadecimal 8679, octal 103171).
What is the square root of 34425?
About 185.5398, exactly 45√17.
Is 34425 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34425?
34425 is a happy number: repeatedly adding the squares of its digits reaches 1.