The number 42959
42959 is a composite number with 12 divisors. Its prime factorisation is 7 × 17 × . Divisors (12): 1, 7, 17, 19, 119, 133, 323, 361, 2261, 2527, 6137, 42959.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42959 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42959 is composite. Its prime factorisation is
- 3
The divisors add up to 54864; without 42959 itself that is 11905, so 42959 is deficient (11905 is less than 42959). Euler's totient φ(42959) = 32832 numbers up to 42959 share no factor with it.
- 4
The digits of 42959 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42959 = 7 \times 17 \times 19^{2} \]42959 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54864 |
| Euler totient φ(n) | 32832 |
| Square | 1845475681 |
| Cube | 79279789780079 |
| Square root | 207.265530 (= 19√119) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2959 × |
42959 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and fifty-nine |
| Binary (base 2) | 1010011111001111 |
| Octal (base 8) | 123717 |
| Hexadecimal (base 16) | A7CF |
| Base 3 | 2011221002 |
| As time | 42959 seconds = 11 h 55 min 59 s |
Is 42959 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42959 ÷ 7 = 6137) | 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 7) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42959 a prime number?
No. 42959 = 7 × 17 × , so it is divisible by 7.
What are the factors of 42959?
1, 7, 17, 19, 119, 133, 323, 361, 2261, 2527, 6137, 42959.
What is 42959 in binary?
1010011111001111 (hexadecimal A7CF, octal 123717).
What is the square root of 42959?
About 207.2655, exactly 19√119.
Is 42959 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 42959?
It is a composite number with 12 divisors.