The number 47196
47196 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 23. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 18, 19, 23, 27, 36, 38, 46, 54, 57 … 47196.
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How to work it out
- 1
What is special about 47196: a Harshad number: divisible by its digit sum 27.
- 2
47196 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 47196 itself that is 87204, so 47196 is abundant (87204 is more than 47196). Euler's totient φ(47196) = 14256 numbers up to 47196 share no factor with it.
- 4
The digits of 47196 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47196 = 2^{2} \times 3^{3} \times 19 \times 23 \]47196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 14256 |
| Square | 2227462416 |
| Cube | 105127316185536 |
| Square root | 217.246404 (= 6√1311) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7196 × |
47196 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and ninety-six |
| Binary (base 2) | 1011100001011100 |
| Octal (base 8) | 134134 |
| Hexadecimal (base 16) | B85C |
| Base 3 | 2101202000 |
| As time | 47196 seconds = 13 h 6 min 36 s |
Is 47196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47196 ÷ 2 = 23598) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47196 ÷ 3 = 15732) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47196 ÷ 4 = 11799) | 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 | Yes (47196 ÷ 6 = 7866) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47196 ÷ 9 = 5244) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47196 ÷ 12 = 3933) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47196 a prime number?
No. 47196 = × × 19 × 23, so it is divisible by 2.
What are the factors of 47196?
1, 2, 3, 4, 6, 9, 12, 18, 19, 23, 27, 36, 38, 46, 54, 57, 69, 76, 92, 108, 114, 138, 171, 207, 228, 276, 342, 414, 437, 513, 621, 684, 828, 874, 1026, 1242, 1311, 1748, 2052, 2484, 2622, 3933, 5244, 7866, 11799, 15732, 23598, 47196.
What is 47196 in binary?
1011100001011100 (hexadecimal B85C, octal 134134).
What is the square root of 47196?
About 217.2464, exactly 6√1311.
Is 47196 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47196?
47196 is a Harshad number: divisible by its digit sum 27.