The number 47736
47736 is a composite number with 64 divisors. Its prime factorisation is × × 13 × 17. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 12, 13, 17, 18, 24, 26, 27, 34, 36 … 47736.
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How to work it out
- 1
What is special about 47736: a Harshad number: divisible by its digit sum 27.
- 2
47736 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 47736 itself that is 103464, so 47736 is abundant (103464 is more than 47736). Euler's totient φ(47736) = 13824 numbers up to 47736 share no factor with it.
- 4
The digits of 47736 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47736 = 2^{3} \times 3^{3} \times 13 \times 17 \]47736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 13824 |
| Square | 2278725696 |
| Cube | 108777249824256 |
| Square root | 218.485697 (= 6√1326) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7736 × |
47736 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and thirty-six |
| Binary (base 2) | 1011101001111000 |
| Octal (base 8) | 135170 |
| Hexadecimal (base 16) | BA78 |
| Base 3 | 2102111000 |
| As time | 47736 seconds = 13 h 15 min 36 s |
Is 47736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47736 ÷ 2 = 23868) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47736 ÷ 3 = 15912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47736 ÷ 4 = 11934) | 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 (47736 ÷ 6 = 7956) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (47736 ÷ 8 = 5967) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47736 ÷ 9 = 5304) | 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 | Yes (47736 ÷ 12 = 3978) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47736 a prime number?
No. 47736 = × × 13 × 17, so it is divisible by 2.
What are the factors of 47736?
1, 2, 3, 4, 6, 8, 9, 12, 13, 17, 18, 24, 26, 27, 34, 36, 39, 51, 52, 54, 68, 72, 78, 102, 104, 108, 117, 136, 153, 156, 204, 216, 221, 234, 306, 312, 351, 408, 442, 459, 468, 612, 663, 702, 884, 918, 936, 1224, 1326, 1404, 1768, 1836, 1989, 2652, 2808, 3672, 3978, 5304, 5967, 7956, 11934, 15912, 23868, 47736.
What is 47736 in binary?
1011101001111000 (hexadecimal BA78, octal 135170).
What is the square root of 47736?
About 218.4857, exactly 6√1326.
Is 47736 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47736?
47736 is a Harshad number: divisible by its digit sum 27.