The number 42902
42902 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1129. Divisors (8): 1, 2, 19, 38, 1129, 2258, 21451, 42902.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42902 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42902 is composite. Its prime factorisation is
- 3
The divisors add up to 67800; without 42902 itself that is 24898, so 42902 is deficient (24898 is less than 42902). Euler's totient φ(42902) = 20304 numbers up to 42902 share no factor with it.
- 4
The digits of 42902 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42902 = 2 \times 19 \times 1129 \]
42902 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67800 |
| Euler totient φ(n) | 20304 |
| Square | 1840581604 |
| Cube | 78964631974808 |
| Square root | 207.127980 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2902 × |
42902 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and two |
| Binary (base 2) | 1010011110010110 |
| Octal (base 8) | 123626 |
| Hexadecimal (base 16) | A796 |
| Base 3 | 2011211222 |
| As time | 42902 seconds = 11 h 55 min 2 s |
Is 42902 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42902 ÷ 2 = 21451) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42902 a prime number?
No. 42902 = 2 × 19 × 1129, so it is divisible by 2.
What are the factors of 42902?
1, 2, 19, 38, 1129, 2258, 21451, 42902.
What is 42902 in binary?
1010011110010110 (hexadecimal A796, octal 123626).
What is the square root of 42902?
About 207.1280.
Is 42902 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42902?
It is a composite number with 8 divisors.