The number 47632
47632 is a composite number with 20 divisors. Its prime factorisation is × 13 × 229. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 229, 458, 916, 1832, 2977, 3664 … 47632.
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How to work it out
- 1
47632 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47632 is composite. Its prime factorisation is
- 3
The divisors add up to 99820; without 47632 itself that is 52188, so 47632 is abundant (52188 is more than 47632). Euler's totient φ(47632) = 21888 numbers up to 47632 share no factor with it.
- 4
The digits of 47632 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47632 = 2^{4} \times 13 \times 229 \]47632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 99820 |
| Euler totient φ(n) | 21888 |
| Square | 2268807424 |
| Cube | 108067835219968 |
| Square root | 218.247566 (= 4√2977) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7632 × |
47632 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and thirty-two |
| Binary (base 2) | 1011101000010000 |
| Octal (base 8) | 135020 |
| Hexadecimal (base 16) | BA10 |
| Base 3 | 2102100011 |
| As time | 47632 seconds = 13 h 13 min 52 s |
Is 47632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47632 ÷ 2 = 23816) | 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 (47632 ÷ 4 = 11908) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 (47632 ÷ 8 = 5954) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 47632 a prime number?
No. 47632 = × 13 × 229, so it is divisible by 2.
What are the factors of 47632?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 229, 458, 916, 1832, 2977, 3664, 5954, 11908, 23816, 47632.
What is 47632 in binary?
1011101000010000 (hexadecimal BA10, octal 135020).
What is the square root of 47632?
About 218.2476, exactly 4√2977.
Is 47632 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47632?
It is a composite number with 20 divisors.