The number 42123
42123 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 739. Divisors (8): 1, 3, 19, 57, 739, 2217, 14041, 42123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42123 is composite. Its prime factorisation is
- 3
The divisors add up to 59200; without 42123 itself that is 17077, so 42123 is deficient (17077 is less than 42123). Euler's totient φ(42123) = 26568 numbers up to 42123 share no factor with it.
- 4
The digits of 42123 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42123 = 3 \times 19 \times 739 \]
42123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59200 |
| Euler totient φ(n) | 26568 |
| Square | 1774347129 |
| Cube | 74740824114867 |
| Square root | 205.238885 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2123 × |
42123 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and twenty-three |
| Binary (base 2) | 1010010010001011 |
| Octal (base 8) | 122213 |
| Hexadecimal (base 16) | A48B |
| Base 3 | 2010210010 |
| As time | 42123 seconds = 11 h 42 min 3 s |
Is 42123 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 (42123 ÷ 3 = 14041) | 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 3) | 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 4) | 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 3) | 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 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42123 a prime number?
No. 42123 = 3 × 19 × 739, so it is divisible by 3.
What are the factors of 42123?
1, 3, 19, 57, 739, 2217, 14041, 42123.
What is 42123 in binary?
1010010010001011 (hexadecimal A48B, octal 122213).
What is the square root of 42123?
About 205.2389.
Is 42123 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42123?
It is a composite number with 8 divisors.