The number 42208
42208 is a composite number with 12 divisors. Its prime factorisation is × 1319. Divisors (12): 1, 2, 4, 8, 16, 32, 1319, 2638, 5276, 10552, 21104, 42208.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42208: a Harshad number: divisible by its digit sum 16.
- 2
42208 is composite. Its prime factorisation is
- 3
The divisors add up to 83160; without 42208 itself that is 40952, so 42208 is deficient (40952 is less than 42208). Euler's totient φ(42208) = 21088 numbers up to 42208 share no factor with it.
- 4
The digits of 42208 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42208 = 2^{5} \times 1319 \]42208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83160 |
| Euler totient φ(n) | 21088 |
| Square | 1781515264 |
| Cube | 75194196262912 |
| Square root | 205.445857 (= 4√2638) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2208 × |
42208 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eight |
| Binary (base 2) | 1010010011100000 |
| Octal (base 8) | 122340 |
| Hexadecimal (base 16) | A4E0 |
| Base 3 | 2010220021 |
| As time | 42208 seconds = 11 h 43 min 28 s |
Is 42208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42208 ÷ 2 = 21104) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42208 ÷ 4 = 10552) | 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 4) | 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 (42208 ÷ 8 = 5276) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42208 a prime number?
No. 42208 = × 1319, so it is divisible by 2.
What are the factors of 42208?
1, 2, 4, 8, 16, 32, 1319, 2638, 5276, 10552, 21104, 42208.
What is 42208 in binary?
1010010011100000 (hexadecimal A4E0, octal 122340).
What is the square root of 42208?
About 205.4459, exactly 4√2638.
Is 42208 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42208?
42208 is a Harshad number: divisible by its digit sum 16.