The number 42352
42352 is a composite number with 10 divisors. Its prime factorisation is × 2647. Divisors (10): 1, 2, 4, 8, 16, 2647, 5294, 10588, 21176, 42352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42352: a Harshad number: divisible by its digit sum 16.
- 2
42352 is composite. Its prime factorisation is
- 3
The divisors add up to 82088; without 42352 itself that is 39736, so 42352 is deficient (39736 is less than 42352). Euler's totient φ(42352) = 21168 numbers up to 42352 share no factor with it.
- 4
The digits of 42352 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42352 = 2^{4} \times 2647 \]42352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 82088 |
| Euler totient φ(n) | 21168 |
| Square | 1793691904 |
| Cube | 75966439518208 |
| Square root | 205.796016 (= 4√2647) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2352 × |
42352 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and fifty-two |
| Binary (base 2) | 1010010101110000 |
| Octal (base 8) | 122560 |
| Hexadecimal (base 16) | A570 |
| Base 3 | 2011002121 |
| As time | 42352 seconds = 11 h 45 min 52 s |
Is 42352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42352 ÷ 2 = 21176) | 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 (42352 ÷ 4 = 10588) | 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 2) | 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 | Yes (42352 ÷ 8 = 5294) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 42352 a prime number?
No. 42352 = × 2647, so it is divisible by 2.
What are the factors of 42352?
1, 2, 4, 8, 16, 2647, 5294, 10588, 21176, 42352.
What is 42352 in binary?
1010010101110000 (hexadecimal A570, octal 122560).
What is the square root of 42352?
About 205.7960, exactly 4√2647.
Is 42352 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42352?
42352 is a Harshad number: divisible by its digit sum 16.