The number 42312
42312 is a composite number with 32 divisors. Its prime factorisation is × 3 × 41 × 43. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 41, 43, 82, 86, 123, 129, 164, 172 … 42312.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42312: a Harshad number: divisible by its digit sum 12.
- 2
42312 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 42312 itself that is 68568, so 42312 is abundant (68568 is more than 42312). Euler's totient φ(42312) = 13440 numbers up to 42312 share no factor with it.
- 4
The digits of 42312 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42312 = 2^{3} \times 3 \times 41 \times 43 \]42312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 13440 |
| Square | 1790305344 |
| Cube | 75751399715328 |
| Square root | 205.698809 (= 2√10578) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2312 × |
42312 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and twelve |
| Binary (base 2) | 1010010101001000 |
| Octal (base 8) | 122510 |
| Hexadecimal (base 16) | A548 |
| Base 3 | 2011001010 |
| As time | 42312 seconds = 11 h 45 min 12 s |
Is 42312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42312 ÷ 2 = 21156) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42312 ÷ 3 = 14104) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42312 ÷ 4 = 10578) | 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 | Yes (42312 ÷ 6 = 7052) | 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 | Yes (42312 ÷ 8 = 5289) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42312 ÷ 12 = 3526) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42312 a prime number?
No. 42312 = × 3 × 41 × 43, so it is divisible by 2.
What are the factors of 42312?
1, 2, 3, 4, 6, 8, 12, 24, 41, 43, 82, 86, 123, 129, 164, 172, 246, 258, 328, 344, 492, 516, 984, 1032, 1763, 3526, 5289, 7052, 10578, 14104, 21156, 42312.
What is 42312 in binary?
1010010101001000 (hexadecimal A548, octal 122510).
What is the square root of 42312?
About 205.6988, exactly 2√10578.
Is 42312 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42312?
42312 is a Harshad number: divisible by its digit sum 12.