The number 42732
42732 is a composite number with 18 divisors. Its prime factorisation is × × 1187. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1187, 2374, 3561, 4748, 7122, 10683, 14244 … 42732.
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How to work it out
- 1
What is special about 42732: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42732 is composite. Its prime factorisation is
- 3
The divisors add up to 108108; without 42732 itself that is 65376, so 42732 is abundant (65376 is more than 42732). Euler's totient φ(42732) = 14232 numbers up to 42732 share no factor with it.
- 4
The digits of 42732 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42732 = 2^{2} \times 3^{2} \times 1187 \]42732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 108108 |
| Euler totient φ(n) | 14232 |
| Square | 1826023824 |
| Cube | 78029650047168 |
| Square root | 206.717198 (= 6√1187) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2732 × |
42732 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and thirty-two |
| Binary (base 2) | 1010011011101100 |
| Octal (base 8) | 123354 |
| Hexadecimal (base 16) | A6EC |
| Base 3 | 2011121200 |
| As time | 42732 seconds = 11 h 52 min 12 s |
Is 42732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42732 ÷ 2 = 21366) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42732 ÷ 3 = 14244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42732 ÷ 4 = 10683) | 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 (42732 ÷ 6 = 7122) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42732 ÷ 9 = 4748) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42732 ÷ 12 = 3561) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42732 a prime number?
No. 42732 = × × 1187, so it is divisible by 2.
What are the factors of 42732?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1187, 2374, 3561, 4748, 7122, 10683, 14244, 21366, 42732.
What is 42732 in binary?
1010011011101100 (hexadecimal A6EC, octal 123354).
What is the square root of 42732?
About 206.7172, exactly 6√1187.
Is 42732 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42732?
42732 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.