The number 42196
42196 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 137. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 137, 154, 274, 308, 548, 959 … 42196.
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How to work it out
- 1
What is special about 42196: a Harshad number: divisible by its digit sum 22.
- 2
42196 is composite. Its prime factorisation is
- 3
The divisors add up to 92736; without 42196 itself that is 50540, so 42196 is abundant (50540 is more than 42196). Euler's totient φ(42196) = 16320 numbers up to 42196 share no factor with it.
- 4
The digits of 42196 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42196 = 2^{2} \times 7 \times 11 \times 137 \]42196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92736 |
| Euler totient φ(n) | 16320 |
| Square | 1780502416 |
| Cube | 75130079945536 |
| Square root | 205.416650 (= 2√10549) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2196 × |
42196 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety-six |
| Binary (base 2) | 1010010011010100 |
| Octal (base 8) | 122324 |
| Hexadecimal (base 16) | A4D4 |
| Base 3 | 2010212211 |
| As time | 42196 seconds = 11 h 43 min 16 s |
Is 42196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42196 ÷ 2 = 21098) | 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 (42196 ÷ 4 = 10549) | 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 | Yes (42196 ÷ 7 = 6028) | 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 4) | 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 | Yes (42196 ÷ 11 = 3836) | 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 42196 a prime number?
No. 42196 = × 7 × 11 × 137, so it is divisible by 2.
What are the factors of 42196?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 137, 154, 274, 308, 548, 959, 1507, 1918, 3014, 3836, 6028, 10549, 21098, 42196.
What is 42196 in binary?
1010010011010100 (hexadecimal A4D4, octal 122324).
What is the square root of 42196?
About 205.4166, exactly 2√10549.
Is 42196 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42196?
42196 is a Harshad number: divisible by its digit sum 22.