The number 42708
42708 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3559. Divisors (12): 1, 2, 3, 4, 6, 12, 3559, 7118, 10677, 14236, 21354, 42708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42708: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42708 is composite. Its prime factorisation is
- 3
The divisors add up to 99680; without 42708 itself that is 56972, so 42708 is abundant (56972 is more than 42708). Euler's totient φ(42708) = 14232 numbers up to 42708 share no factor with it.
- 4
The digits of 42708 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42708 = 2^{2} \times 3 \times 3559 \]42708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99680 |
| Euler totient φ(n) | 14232 |
| Square | 1823973264 |
| Cube | 77898250158912 |
| Square root | 206.659140 (= 2√10677) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2708 × |
42708 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and eight |
| Binary (base 2) | 1010011011010100 |
| Octal (base 8) | 123324 |
| Hexadecimal (base 16) | A6D4 |
| Base 3 | 2011120210 |
| As time | 42708 seconds = 11 h 51 min 48 s |
Is 42708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42708 ÷ 2 = 21354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42708 ÷ 3 = 14236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42708 ÷ 4 = 10677) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42708 ÷ 6 = 7118) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42708 ÷ 12 = 3559) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42708 a prime number?
No. 42708 = × 3 × 3559, so it is divisible by 2.
What are the factors of 42708?
1, 2, 3, 4, 6, 12, 3559, 7118, 10677, 14236, 21354, 42708.
What is 42708 in binary?
1010011011010100 (hexadecimal A6D4, octal 123324).
What is the square root of 42708?
About 206.6591, exactly 2√10677.
Is 42708 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42708?
42708 is a happy number: repeatedly adding the squares of its digits reaches 1.