The number 42016
42016 is a composite number with 24 divisors. Its prime factorisation is × 13 × 101. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 101, 104, 202, 208, 404, 416, 808 … 42016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42016: a Harshad number: divisible by its digit sum 13.
- 2
42016 is composite. Its prime factorisation is
- 3
The divisors add up to 89964; without 42016 itself that is 47948, so 42016 is abundant (47948 is more than 42016). Euler's totient φ(42016) = 19200 numbers up to 42016 share no factor with it.
- 4
The digits of 42016 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42016 = 2^{5} \times 13 \times 101 \]42016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89964 |
| Euler totient φ(n) | 19200 |
| Square | 1765344256 |
| Cube | 74172704260096 |
| Square root | 204.978048 (= 4√2626) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2016 × |
42016 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixteen |
| Binary (base 2) | 1010010000100000 |
| Octal (base 8) | 122040 |
| Hexadecimal (base 16) | A420 |
| Base 3 | 2010122011 |
| As time | 42016 seconds = 11 h 40 min 16 s |
Is 42016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42016 ÷ 2 = 21008) | 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 (42016 ÷ 4 = 10504) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 (42016 ÷ 8 = 5252) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42016 a prime number?
No. 42016 = × 13 × 101, so it is divisible by 2.
What are the factors of 42016?
1, 2, 4, 8, 13, 16, 26, 32, 52, 101, 104, 202, 208, 404, 416, 808, 1313, 1616, 2626, 3232, 5252, 10504, 21008, 42016.
What is 42016 in binary?
1010010000100000 (hexadecimal A420, octal 122040).
What is the square root of 42016?
About 204.9780, exactly 4√2626.
Is 42016 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42016?
42016 is a Harshad number: divisible by its digit sum 13.