The number 42680
42680 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 97. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 97, 110, 194 … 42680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42680: a Harshad number: divisible by its digit sum 20.
- 2
42680 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 42680 itself that is 63160, so 42680 is abundant (63160 is more than 42680). Euler's totient φ(42680) = 15360 numbers up to 42680 share no factor with it.
- 4
The digits of 42680 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42680 = 2^{3} \times 5 \times 11 \times 97 \]42680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 15360 |
| Square | 1821582400 |
| Cube | 77745136832000 |
| Square root | 206.591384 (= 2√10670) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.268 × |
42680 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eighty |
| Binary (base 2) | 1010011010111000 |
| Octal (base 8) | 123270 |
| Hexadecimal (base 16) | A6B8 |
| Base 3 | 2011112202 |
| As time | 42680 seconds = 11 h 51 min 20 s |
Is 42680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42680 ÷ 2 = 21340) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42680 ÷ 4 = 10670) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42680 ÷ 5 = 8536) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (42680 ÷ 8 = 5335) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42680 ÷ 10 = 4268) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42680 ÷ 11 = 3880) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42680 a prime number?
No. 42680 = × 5 × 11 × 97, so it is divisible by 2.
What are the factors of 42680?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 97, 110, 194, 220, 388, 440, 485, 776, 970, 1067, 1940, 2134, 3880, 4268, 5335, 8536, 10670, 21340, 42680.
What is 42680 in binary?
1010011010111000 (hexadecimal A6B8, octal 123270).
What is the square root of 42680?
About 206.5914, exactly 2√10670.
Is 42680 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42680?
42680 is a Harshad number: divisible by its digit sum 20.