The number 34342
34342 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 223. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 223, 446, 1561, 2453, 3122, 4906, 17171, 34342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34342 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 34342 itself that is 30170, so 34342 is deficient (30170 is less than 34342). Euler's totient φ(34342) = 13320 numbers up to 34342 share no factor with it.
- 4
The digits of 34342 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34342 = 2 \times 7 \times 11 \times 223 \]
34342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 13320 |
| Square | 1179372964 |
| Cube | 40502026329688 |
| Square root | 185.315946 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4342 × |
34342 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand three hundred and forty-two |
| Binary (base 2) | 1000011000100110 |
| Octal (base 8) | 103046 |
| Hexadecimal (base 16) | 8626 |
| Base 3 | 1202002221 |
| As time | 34342 seconds = 9 h 32 min 22 s |
Is 34342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34342 ÷ 2 = 17171) | 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 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34342 ÷ 7 = 4906) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (34342 ÷ 11 = 3122) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34342 a prime number?
No. 34342 = 2 × 7 × 11 × 223, so it is divisible by 2.
What are the factors of 34342?
1, 2, 7, 11, 14, 22, 77, 154, 223, 446, 1561, 2453, 3122, 4906, 17171, 34342.
What is 34342 in binary?
1000011000100110 (hexadecimal 8626, octal 103046).
What is the square root of 34342?
About 185.3159.
Is 34342 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 34342?
It is a composite number with 16 divisors.