The number 34242
34242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 439. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 439, 878, 1317, 2634, 5707, 11414, 17121, 34242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34242: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34242 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 34242 itself that is 39678, so 34242 is abundant (39678 is more than 34242). Euler's totient φ(34242) = 10512 numbers up to 34242 share no factor with it.
- 4
The digits of 34242 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34242 = 2 \times 3 \times 13 \times 439 \]
34242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 10512 |
| Square | 1172514564 |
| Cube | 40149243700488 |
| Square root | 185.045940 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 165 |
| Scientific notation | 3.4242 × |
34242 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand two hundred and forty-two |
| Binary (base 2) | 1000010111000010 |
| Octal (base 8) | 102702 |
| Hexadecimal (base 16) | 85C2 |
| Base 3 | 1201222020 |
| As time | 34242 seconds = 9 h 30 min 42 s |
Is 34242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34242 ÷ 2 = 17121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34242 ÷ 3 = 11414) | 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 (34242 ÷ 6 = 5707) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 10) | 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 34242 a prime number?
No. 34242 = 2 × 3 × 13 × 439, so it is divisible by 2.
What are the factors of 34242?
1, 2, 3, 6, 13, 26, 39, 78, 439, 878, 1317, 2634, 5707, 11414, 17121, 34242.
What is 34242 in binary?
1000010111000010 (hexadecimal 85C2, octal 102702).
What is the square root of 34242?
About 185.0459.
Is 34242 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 34242?
34242 is a happy number: repeatedly adding the squares of its digits reaches 1.