The number 42462
42462 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 337. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 337, 674, 1011, 2022 … 42462.
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How to work it out
- 1
What is special about 42462: a Harshad number: divisible by its digit sum 18.
- 2
42462 is composite. Its prime factorisation is
- 3
The divisors add up to 105456; without 42462 itself that is 62994, so 42462 is abundant (62994 is more than 42462). Euler's totient φ(42462) = 12096 numbers up to 42462 share no factor with it.
- 4
The digits of 42462 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42462 = 2 \times 3^{2} \times 7 \times 337 \]42462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105456 |
| Euler totient φ(n) | 12096 |
| Square | 1803021444 |
| Cube | 76559896555128 |
| Square root | 206.063097 (= 3√4718) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2462 × |
42462 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-two |
| Binary (base 2) | 1010010111011110 |
| Octal (base 8) | 122736 |
| Hexadecimal (base 16) | A5DE |
| Base 3 | 2011020200 |
| As time | 42462 seconds = 11 h 47 min 42 s |
Is 42462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42462 ÷ 2 = 21231) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42462 ÷ 3 = 14154) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (42462 ÷ 6 = 7077) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42462 ÷ 7 = 6066) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42462 ÷ 9 = 4718) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42462 a prime number?
No. 42462 = 2 × × 7 × 337, so it is divisible by 2.
What are the factors of 42462?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 337, 674, 1011, 2022, 2359, 3033, 4718, 6066, 7077, 14154, 21231, 42462.
What is 42462 in binary?
1010010111011110 (hexadecimal A5DE, octal 122736).
What is the square root of 42462?
About 206.0631, exactly 3√4718.
Is 42462 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42462?
42462 is a Harshad number: divisible by its digit sum 18.