The number 34821
34821 is a composite number with 12 divisors. Its prime factorisation is × 53 × 73. Divisors (12): 1, 3, 9, 53, 73, 159, 219, 477, 657, 3869, 11607, 34821.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34821: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34821 is composite. Its prime factorisation is
- 3
The divisors add up to 51948; without 34821 itself that is 17127, so 34821 is deficient (17127 is less than 34821). Euler's totient φ(34821) = 22464 numbers up to 34821 share no factor with it.
- 4
The digits of 34821 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34821 = 3^{2} \times 53 \times 73 \]34821 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51948 |
| Euler totient φ(n) | 22464 |
| Square | 1212502041 |
| Cube | 42220533569661 |
| Square root | 186.603858 (= 3√3869) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4821 × |
34821 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and twenty-one |
| Binary (base 2) | 1000100000000101 |
| Octal (base 8) | 104005 |
| Hexadecimal (base 16) | 8805 |
| Base 3 | 1202202200 |
| As time | 34821 seconds = 9 h 40 min 21 s |
Is 34821 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 (34821 ÷ 3 = 11607) | 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 | No (remainder 1) | 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 3) | 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 | Yes (34821 ÷ 9 = 3869) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 34821 a prime number?
No. 34821 = × 53 × 73, so it is divisible by 3.
What are the factors of 34821?
1, 3, 9, 53, 73, 159, 219, 477, 657, 3869, 11607, 34821.
What is 34821 in binary?
1000100000000101 (hexadecimal 8805, octal 104005).
What is the square root of 34821?
About 186.6039, exactly 3√3869.
Is 34821 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34821?
34821 is a happy number: repeatedly adding the squares of its digits reaches 1.