The number 42432
42432 is a composite number with 56 divisors. Its prime factorisation is × 3 × 13 × 17. Divisors (56): 1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48 … 42432.
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How to work it out
- 1
What is special about 42432: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42432 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 42432 itself that is 85584, so 42432 is abundant (85584 is more than 42432). Euler's totient φ(42432) = 12288 numbers up to 42432 share no factor with it.
- 4
The digits of 42432 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42432 = 2^{6} \times 3 \times 13 \times 17 \]42432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 12288 |
| Square | 1800474624 |
| Cube | 76397739245568 |
| Square root | 205.990291 (= 8√663) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2432 × |
42432 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and thirty-two |
| Binary (base 2) | 1010010111000000 |
| Octal (base 8) | 122700 |
| Hexadecimal (base 16) | A5C0 |
| Base 3 | 2011012120 |
| As time | 42432 seconds = 11 h 47 min 12 s |
Is 42432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42432 ÷ 2 = 21216) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42432 ÷ 3 = 14144) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42432 ÷ 4 = 10608) | 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 (42432 ÷ 6 = 7072) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (42432 ÷ 8 = 5304) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42432 ÷ 12 = 3536) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42432 a prime number?
No. 42432 = × 3 × 13 × 17, so it is divisible by 2.
What are the factors of 42432?
1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 136, 156, 192, 204, 208, 221, 272, 312, 408, 416, 442, 544, 624, 663, 816, 832, 884, 1088, 1248, 1326, 1632, 1768, 2496, 2652, 3264, 3536, 5304, 7072, 10608, 14144, 21216, 42432.
What is 42432 in binary?
1010010111000000 (hexadecimal A5C0, octal 122700).
What is the square root of 42432?
About 205.9903, exactly 8√663.
Is 42432 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42432?
42432 is a happy number: repeatedly adding the squares of its digits reaches 1.