The number 42119
42119 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 547. Divisors (8): 1, 7, 11, 77, 547, 3829, 6017, 42119.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42119: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42119 is composite. Its prime factorisation is
- 3
The divisors add up to 52608; without 42119 itself that is 10489, so 42119 is deficient (10489 is less than 42119). Euler's totient φ(42119) = 32760 numbers up to 42119 share no factor with it.
- 4
The digits of 42119 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42119 = 7 \times 11 \times 547 \]
42119 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52608 |
| Euler totient φ(n) | 32760 |
| Square | 1774010161 |
| Cube | 74719533971159 |
| Square root | 205.229140 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2119 × |
42119 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and nineteen |
| Binary (base 2) | 1010010010000111 |
| Octal (base 8) | 122207 |
| Hexadecimal (base 16) | A487 |
| Base 3 | 2010202222 |
| As time | 42119 seconds = 11 h 41 min 59 s |
Is 42119 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 (42119 ÷ 7 = 6017) | 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 8) | 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 | Yes (42119 ÷ 11 = 3829) | 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 42119 a prime number?
No. 42119 = 7 × 11 × 547, so it is divisible by 7.
What are the factors of 42119?
1, 7, 11, 77, 547, 3829, 6017, 42119.
What is 42119 in binary?
1010010010000111 (hexadecimal A487, octal 122207).
What is the square root of 42119?
About 205.2291.
Is 42119 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42119?
42119 is a happy number: repeatedly adding the squares of its digits reaches 1.