The number 42132
42132 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3511. Divisors (12): 1, 2, 3, 4, 6, 12, 3511, 7022, 10533, 14044, 21066, 42132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42132: a Harshad number: divisible by its digit sum 12.
- 2
42132 is composite. Its prime factorisation is
- 3
The divisors add up to 98336; without 42132 itself that is 56204, so 42132 is abundant (56204 is more than 42132). Euler's totient φ(42132) = 14040 numbers up to 42132 share no factor with it.
- 4
The digits of 42132 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42132 = 2^{2} \times 3 \times 3511 \]42132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98336 |
| Euler totient φ(n) | 14040 |
| Square | 1775105424 |
| Cube | 74788741723968 |
| Square root | 205.260810 (= 2√10533) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2132 × |
42132 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and thirty-two |
| Binary (base 2) | 1010010010010100 |
| Octal (base 8) | 122224 |
| Hexadecimal (base 16) | A494 |
| Base 3 | 2010210110 |
| As time | 42132 seconds = 11 h 42 min 12 s |
Is 42132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42132 ÷ 2 = 21066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42132 ÷ 3 = 14044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42132 ÷ 4 = 10533) | 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 (42132 ÷ 6 = 7022) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42132 ÷ 12 = 3511) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42132 a prime number?
No. 42132 = × 3 × 3511, so it is divisible by 2.
What are the factors of 42132?
1, 2, 3, 4, 6, 12, 3511, 7022, 10533, 14044, 21066, 42132.
What is 42132 in binary?
1010010010010100 (hexadecimal A494, octal 122224).
What is the square root of 42132?
About 205.2608, exactly 2√10533.
Is 42132 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42132?
42132 is a Harshad number: divisible by its digit sum 12.