The number 42702
42702 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 647. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 647, 1294, 1941, 3882, 7117, 14234, 21351, 42702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42702 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42702 is composite. Its prime factorisation is
- 3
The divisors add up to 93312; without 42702 itself that is 50610, so 42702 is abundant (50610 is more than 42702). Euler's totient φ(42702) = 12920 numbers up to 42702 share no factor with it.
- 4
The digits of 42702 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 256 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42702 = 2 \times 3 \times 11 \times 647 \]
42702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93312 |
| Euler totient φ(n) | 12920 |
| Square | 1823460804 |
| Cube | 77865423252408 |
| Square root | 206.644622 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 256 |
| Scientific notation | 4.2702 × |
42702 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and two |
| Binary (base 2) | 1010011011001110 |
| Octal (base 8) | 123316 |
| Hexadecimal (base 16) | A6CE |
| Base 3 | 2011120120 |
| As time | 42702 seconds = 11 h 51 min 42 s |
Is 42702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42702 ÷ 2 = 21351) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42702 ÷ 3 = 14234) | 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 (42702 ÷ 6 = 7117) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 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 | Yes (42702 ÷ 11 = 3882) | 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 42702 a prime number?
No. 42702 = 2 × 3 × 11 × 647, so it is divisible by 2.
What are the factors of 42702?
1, 2, 3, 6, 11, 22, 33, 66, 647, 1294, 1941, 3882, 7117, 14234, 21351, 42702.
What is 42702 in binary?
1010011011001110 (hexadecimal A6CE, octal 123316).
What is the square root of 42702?
About 206.6446.
Is 42702 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42702?
It is a composite number with 16 divisors.