The number 42159
42159 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 23 × 47. Divisors (16): 1, 3, 13, 23, 39, 47, 69, 141, 299, 611, 897, 1081, 1833, 3243, 14053, 42159.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42159 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42159 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 42159 itself that is 22353, so 42159 is deficient (22353 is less than 42159). Euler's totient φ(42159) = 24288 numbers up to 42159 share no factor with it.
- 4
The digits of 42159 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42159 = 3 \times 13 \times 23 \times 47 \]
42159 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 24288 |
| Square | 1777381281 |
| Cube | 74932617425679 |
| Square root | 205.326569 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2159 × |
42159 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and fifty-nine |
| Binary (base 2) | 1010010010101111 |
| Octal (base 8) | 122257 |
| Hexadecimal (base 16) | A4AF |
| Base 3 | 2010211110 |
| As time | 42159 seconds = 11 h 42 min 39 s |
Is 42159 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 | Yes (42159 ÷ 3 = 14053) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42159 a prime number?
No. 42159 = 3 × 13 × 23 × 47, so it is divisible by 3.
What are the factors of 42159?
1, 3, 13, 23, 39, 47, 69, 141, 299, 611, 897, 1081, 1833, 3243, 14053, 42159.
What is 42159 in binary?
1010010010101111 (hexadecimal A4AF, octal 122257).
What is the square root of 42159?
About 205.3266.
Is 42159 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42159?
It is a composite number with 16 divisors.