The number 34820
34820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1741. Divisors (12): 1, 2, 4, 5, 10, 20, 1741, 3482, 6964, 8705, 17410, 34820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34820 is composite. Its prime factorisation is
- 3
The divisors add up to 73164; without 34820 itself that is 38344, so 34820 is abundant (38344 is more than 34820). Euler's totient φ(34820) = 13920 numbers up to 34820 share no factor with it.
- 4
The digits of 34820 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34820 = 2^{2} \times 5 \times 1741 \]34820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73164 |
| Euler totient φ(n) | 13920 |
| Square | 1212432400 |
| Cube | 42216896168000 |
| Square root | 186.601179 (= 2√8705) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.482 × |
34820 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and twenty |
| Binary (base 2) | 1000100000000100 |
| Octal (base 8) | 104004 |
| Hexadecimal (base 16) | 8804 |
| Base 3 | 1202202122 |
| As time | 34820 seconds = 9 h 40 min 20 s |
Is 34820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34820 ÷ 2 = 17410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34820 ÷ 4 = 8705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34820 ÷ 5 = 6964) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34820 ÷ 10 = 3482) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34820 a prime number?
No. 34820 = × 5 × 1741, so it is divisible by 2.
What are the factors of 34820?
1, 2, 4, 5, 10, 20, 1741, 3482, 6964, 8705, 17410, 34820.
What is 34820 in binary?
1000100000000100 (hexadecimal 8804, octal 104004).
What is the square root of 34820?
About 186.6012, exactly 2√8705.
Is 34820 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 34820?
It is a composite number with 12 divisors.