The number 42483
42483 is a composite number with 18 divisors. Its prime factorisation is 3 × × . Divisors (18): 1, 3, 7, 17, 21, 49, 51, 119, 147, 289, 357, 833, 867, 2023, 2499, 6069 … 42483.
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How to work it out
- 1
What is special about 42483: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
42483 is composite. Its prime factorisation is
- 3
The divisors add up to 69996; without 42483 itself that is 27513, so 42483 is deficient (27513 is less than 42483). Euler's totient φ(42483) = 22848 numbers up to 42483 share no factor with it.
- 4
The digits of 42483 add up to 21, 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
\[ 42483 = 3 \times 7^{2} \times 17^{2} \]42483 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 69996 |
| Euler totient φ(n) | 22848 |
| Square | 1804805289 |
| Cube | 76673543092587 |
| Square root | 206.114046 (= 119√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2483 × |
42483 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and eighty-three |
| Binary (base 2) | 1010010111110011 |
| Octal (base 8) | 122763 |
| Hexadecimal (base 16) | A5F3 |
| Base 3 | 2011021110 |
| As time | 42483 seconds = 11 h 48 min 3 s |
Is 42483 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42483 ÷ 3 = 14161) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42483 ÷ 7 = 6069) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42483 a prime number?
No. 42483 = 3 × × , so it is divisible by 3.
What are the factors of 42483?
1, 3, 7, 17, 21, 49, 51, 119, 147, 289, 357, 833, 867, 2023, 2499, 6069, 14161, 42483.
What is 42483 in binary?
1010010111110011 (hexadecimal A5F3, octal 122763).
What is the square root of 42483?
About 206.1140, exactly 119√3.
Is 42483 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42483?
42483 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.