The number 34842
34842 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5807. Divisors (8): 1, 2, 3, 6, 5807, 11614, 17421, 34842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34842: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34842 is composite. Its prime factorisation is
- 3
The divisors add up to 69696; without 34842 itself that is 34854, so 34842 is abundant (34854 is more than 34842). Euler's totient φ(34842) = 11612 numbers up to 34842 share no factor with it.
- 4
The digits of 34842 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34842 = 2 \times 3 \times 5807 \]
34842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69696 |
| Euler totient φ(n) | 11612 |
| Square | 1213964964 |
| Cube | 42296967275688 |
| Square root | 186.660119 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4842 × |
34842 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and forty-two |
| Binary (base 2) | 1000100000011010 |
| Octal (base 8) | 104032 |
| Hexadecimal (base 16) | 881A |
| Base 3 | 1202210110 |
| As time | 34842 seconds = 9 h 40 min 42 s |
Is 34842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34842 ÷ 2 = 17421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34842 ÷ 3 = 11614) | 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 (34842 ÷ 6 = 5807) | 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 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 | No (remainder 5) | 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 34842 a prime number?
No. 34842 = 2 × 3 × 5807, so it is divisible by 2.
What are the factors of 34842?
1, 2, 3, 6, 5807, 11614, 17421, 34842.
What is 34842 in binary?
1000100000011010 (hexadecimal 881A, octal 104032).
What is the square root of 34842?
About 186.6601.
Is 34842 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 34842?
34842 is a happy number: repeatedly adding the squares of its digits reaches 1.