The number 42874
42874 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 97. Divisors (16): 1, 2, 13, 17, 26, 34, 97, 194, 221, 442, 1261, 1649, 2522, 3298, 21437, 42874.
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How to work it out
- 1
42874 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42874 is composite. Its prime factorisation is
- 3
The divisors add up to 74088; without 42874 itself that is 31214, so 42874 is deficient (31214 is less than 42874). Euler's totient φ(42874) = 18432 numbers up to 42874 share no factor with it.
- 4
The digits of 42874 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42874 = 2 \times 13 \times 17 \times 97 \]
42874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74088 |
| Euler totient φ(n) | 18432 |
| Square | 1838179876 |
| Cube | 78810124003624 |
| Square root | 207.060378 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2874 × |
42874 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and seventy-four |
| Binary (base 2) | 1010011101111010 |
| Octal (base 8) | 123572 |
| Hexadecimal (base 16) | A77A |
| Base 3 | 2011210221 |
| As time | 42874 seconds = 11 h 54 min 34 s |
Is 42874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42874 ÷ 2 = 21437) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42874 a prime number?
No. 42874 = 2 × 13 × 17 × 97, so it is divisible by 2.
What are the factors of 42874?
1, 2, 13, 17, 26, 34, 97, 194, 221, 442, 1261, 1649, 2522, 3298, 21437, 42874.
What is 42874 in binary?
1010011101111010 (hexadecimal A77A, octal 123572).
What is the square root of 42874?
About 207.0604.
Is 42874 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42874?
It is a composite number with 16 divisors.