The number 34122
34122 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 47. Divisors (24): 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 121, 141, 242, 282, 363, 517 … 34122.
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How to work it out
- 1
34122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34122 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 34122 itself that is 42486, so 34122 is abundant (42486 is more than 34122). Euler's totient φ(34122) = 10120 numbers up to 34122 share no factor with it.
- 4
The digits of 34122 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34122 = 2 \times 3 \times 11^{2} \times 47 \]34122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 10120 |
| Square | 1164310884 |
| Cube | 39728615983848 |
| Square root | 184.721412 (= 11√282) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4122 × |
34122 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and twenty-two |
| Binary (base 2) | 1000010101001010 |
| Octal (base 8) | 102512 |
| Hexadecimal (base 16) | 854A |
| Base 3 | 1201210210 |
| As time | 34122 seconds = 9 h 28 min 42 s |
Is 34122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34122 ÷ 2 = 17061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34122 ÷ 3 = 11374) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34122 ÷ 6 = 5687) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34122 ÷ 11 = 3102) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34122 a prime number?
No. 34122 = 2 × 3 × × 47, so it is divisible by 2.
What are the factors of 34122?
1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 121, 141, 242, 282, 363, 517, 726, 1034, 1551, 3102, 5687, 11374, 17061, 34122.
What is 34122 in binary?
1000010101001010 (hexadecimal 854A, octal 102512).
What is the square root of 34122?
About 184.7214, exactly 11√282.
Is 34122 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 34122?
It is a composite number with 24 divisors.