The number 42704
42704 is a composite number with 20 divisors. Its prime factorisation is × 17 × 157. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 157, 272, 314, 628, 1256, 2512, 2669 … 42704.
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How to work it out
- 1
What is special about 42704: a Harshad number: divisible by its digit sum 17.
- 2
42704 is composite. Its prime factorisation is
- 3
The divisors add up to 88164; without 42704 itself that is 45460, so 42704 is abundant (45460 is more than 42704). Euler's totient φ(42704) = 19968 numbers up to 42704 share no factor with it.
- 4
The digits of 42704 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42704 = 2^{4} \times 17 \times 157 \]42704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 88164 |
| Euler totient φ(n) | 19968 |
| Square | 1823631616 |
| Cube | 77876364529664 |
| Square root | 206.649462 (= 4√2669) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2704 × |
42704 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and four |
| Binary (base 2) | 1010011011010000 |
| Octal (base 8) | 123320 |
| Hexadecimal (base 16) | A6D0 |
| Base 3 | 2011120122 |
| As time | 42704 seconds = 11 h 51 min 44 s |
Is 42704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42704 ÷ 2 = 21352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42704 ÷ 4 = 10676) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (42704 ÷ 8 = 5338) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42704 a prime number?
No. 42704 = × 17 × 157, so it is divisible by 2.
What are the factors of 42704?
1, 2, 4, 8, 16, 17, 34, 68, 136, 157, 272, 314, 628, 1256, 2512, 2669, 5338, 10676, 21352, 42704.
What is 42704 in binary?
1010011011010000 (hexadecimal A6D0, octal 123320).
What is the square root of 42704?
About 206.6495, exactly 4√2669.
Is 42704 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42704?
42704 is a Harshad number: divisible by its digit sum 17.