The number 42141
42141 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1277. Divisors (8): 1, 3, 11, 33, 1277, 3831, 14047, 42141.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42141 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42141 is composite. Its prime factorisation is
- 3
The divisors add up to 61344; without 42141 itself that is 19203, so 42141 is deficient (19203 is less than 42141). Euler's totient φ(42141) = 25520 numbers up to 42141 share no factor with it.
- 4
The digits of 42141 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42141 = 3 \times 11 \times 1277 \]
42141 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61344 |
| Euler totient φ(n) | 25520 |
| Square | 1775863881 |
| Cube | 74836679809221 |
| Square root | 205.282732 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2141 × |
42141 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and forty-one |
| Binary (base 2) | 1010010010011101 |
| Octal (base 8) | 122235 |
| Hexadecimal (base 16) | A49D |
| Base 3 | 2010210210 |
| As time | 42141 seconds = 11 h 42 min 21 s |
Is 42141 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 (42141 ÷ 3 = 14047) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42141 ÷ 11 = 3831) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42141 a prime number?
No. 42141 = 3 × 11 × 1277, so it is divisible by 3.
What are the factors of 42141?
1, 3, 11, 33, 1277, 3831, 14047, 42141.
What is 42141 in binary?
1010010010011101 (hexadecimal A49D, octal 122235).
What is the square root of 42141?
About 205.2827.
Is 42141 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42141?
It is a composite number with 8 divisors.