The number 34221
34221 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 61. Divisors (16): 1, 3, 11, 17, 33, 51, 61, 183, 187, 561, 671, 1037, 2013, 3111, 11407, 34221.
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How to work it out
- 1
34221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34221 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 34221 itself that is 19347, so 34221 is deficient (19347 is less than 34221). Euler's totient φ(34221) = 19200 numbers up to 34221 share no factor with it.
- 4
The digits of 34221 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34221 = 3 \times 11 \times 17 \times 61 \]
34221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 19200 |
| Square | 1171076841 |
| Cube | 40075420575861 |
| Square root | 184.989189 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.4221 × |
34221 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand two hundred and twenty-one |
| Binary (base 2) | 1000010110101101 |
| Octal (base 8) | 102655 |
| Hexadecimal (base 16) | 85AD |
| Base 3 | 1201221110 |
| As time | 34221 seconds = 9 h 30 min 21 s |
Is 34221 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 (34221 ÷ 3 = 11407) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (34221 ÷ 11 = 3111) | 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 34221 a prime number?
No. 34221 = 3 × 11 × 17 × 61, so it is divisible by 3.
What are the factors of 34221?
1, 3, 11, 17, 33, 51, 61, 183, 187, 561, 671, 1037, 2013, 3111, 11407, 34221.
What is 34221 in binary?
1000010110101101 (hexadecimal 85AD, octal 102655).
What is the square root of 34221?
About 184.9892.
Is 34221 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 34221?
It is a composite number with 16 divisors.