The number 34375
34375 is a composite number with 12 divisors. Its prime factorisation is × 11. Divisors (12): 1, 5, 11, 25, 55, 125, 275, 625, 1375, 3125, 6875, 34375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34375 is composite. Its prime factorisation is
- 3
The divisors add up to 46872; without 34375 itself that is 12497, so 34375 is deficient (12497 is less than 34375). Euler's totient φ(34375) = 25000 numbers up to 34375 share no factor with it.
- 4
The digits of 34375 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34375 = 5^{5} \times 11 \]34375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46872 |
| Euler totient φ(n) | 25000 |
| Square | 1181640625 |
| Cube | 40618896484375 |
| Square root | 185.404962 (= 25√55) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4375 × |
34375 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand three hundred and seventy-five |
| Binary (base 2) | 1000011001000111 |
| Octal (base 8) | 103107 |
| Hexadecimal (base 16) | 8647 |
| Base 3 | 1202011011 |
| As time | 34375 seconds = 9 h 32 min 55 s |
Is 34375 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34375 ÷ 5 = 6875) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (34375 ÷ 11 = 3125) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34375 a prime number?
No. 34375 = × 11, so it is divisible by 5.
What are the factors of 34375?
1, 5, 11, 25, 55, 125, 275, 625, 1375, 3125, 6875, 34375.
What is 34375 in binary?
1000011001000111 (hexadecimal 8647, octal 103107).
What is the square root of 34375?
About 185.4050, exactly 25√55.
Is 34375 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 34375?
It is a composite number with 12 divisors.