The number 34125
34125 is a composite number with 32 divisors. Its prime factorisation is 3 × × 7 × 13. Divisors (32): 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 125, 175 … 34125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34125: a Harshad number: divisible by its digit sum 15.
- 2
34125 is composite. Its prime factorisation is
- 3
The divisors add up to 69888; without 34125 itself that is 35763, so 34125 is abundant (35763 is more than 34125). Euler's totient φ(34125) = 14400 numbers up to 34125 share no factor with it.
- 4
The digits of 34125 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34125 = 3 \times 5^{3} \times 7 \times 13 \]34125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 69888 |
| Euler totient φ(n) | 14400 |
| Square | 1164515625 |
| Cube | 39739095703125 |
| Square root | 184.729532 (= 5√1365) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4125 × |
34125 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and twenty-five |
| Binary (base 2) | 1000010101001101 |
| Octal (base 8) | 102515 |
| Hexadecimal (base 16) | 854D |
| Base 3 | 1201210220 |
| As time | 34125 seconds = 9 h 28 min 45 s |
Is 34125 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 (34125 ÷ 3 = 11375) | 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 (34125 ÷ 5 = 6825) | 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 | Yes (34125 ÷ 7 = 4875) | 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 6) | 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 3) | 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 34125 a prime number?
No. 34125 = 3 × × 7 × 13, so it is divisible by 3.
What are the factors of 34125?
1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 125, 175, 195, 273, 325, 375, 455, 525, 875, 975, 1365, 1625, 2275, 2625, 4875, 6825, 11375, 34125.
What is 34125 in binary?
1000010101001101 (hexadecimal 854D, octal 102515).
What is the square root of 34125?
About 184.7295, exactly 5√1365.
Is 34125 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 34125?
34125 is a Harshad number: divisible by its digit sum 15.