The number 42052
42052 is a composite number with 6 divisors. Its prime factorisation is × 10513. Divisors (6): 1, 2, 4, 10513, 21026, 42052.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42052: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42052 is composite. Its prime factorisation is
- 3
The divisors add up to 73598; without 42052 itself that is 31546, so 42052 is deficient (31546 is less than 42052). Euler's totient φ(42052) = 21024 numbers up to 42052 share no factor with it.
- 4
The digits of 42052 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42052 = 2^{2} \times 10513 \]42052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 73598 |
| Euler totient φ(n) | 21024 |
| Square | 1768370704 |
| Cube | 74363524844608 |
| Square root | 205.065843 (= 2√10513) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2052 × |
42052 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and fifty-two |
| Binary (base 2) | 1010010001000100 |
| Octal (base 8) | 122104 |
| Hexadecimal (base 16) | A444 |
| Base 3 | 2010200111 |
| As time | 42052 seconds = 11 h 40 min 52 s |
Is 42052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42052 ÷ 2 = 21026) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42052 ÷ 4 = 10513) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42052 a prime number?
No. 42052 = × 10513, so it is divisible by 2.
What are the factors of 42052?
1, 2, 4, 10513, 21026, 42052.
What is 42052 in binary?
1010010001000100 (hexadecimal A444, octal 122104).
What is the square root of 42052?
About 205.0658, exactly 2√10513.
Is 42052 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42052?
42052 is a happy number: repeatedly adding the squares of its digits reaches 1.