The number 47152
47152 is a composite number with 20 divisors. Its prime factorisation is × 7 × 421. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 421, 842, 1684, 2947, 3368, 5894 … 47152.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47152 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47152 is composite. Its prime factorisation is
- 3
The divisors add up to 104656; without 47152 itself that is 57504, so 47152 is abundant (57504 is more than 47152). Euler's totient φ(47152) = 20160 numbers up to 47152 share no factor with it.
- 4
The digits of 47152 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47152 = 2^{4} \times 7 \times 421 \]47152 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 104656 |
| Euler totient φ(n) | 20160 |
| Square | 2223311104 |
| Cube | 104833565175808 |
| Square root | 217.145113 (= 4√2947) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7152 × |
47152 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and fifty-two |
| Binary (base 2) | 1011100000110000 |
| Octal (base 8) | 134060 |
| Hexadecimal (base 16) | B830 |
| Base 3 | 2101200101 |
| As time | 47152 seconds = 13 h 5 min 52 s |
Is 47152 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47152 ÷ 2 = 23576) | 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 (47152 ÷ 4 = 11788) | 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 | Yes (47152 ÷ 7 = 6736) | 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 (47152 ÷ 8 = 5894) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 47152 a prime number?
No. 47152 = × 7 × 421, so it is divisible by 2.
What are the factors of 47152?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 421, 842, 1684, 2947, 3368, 5894, 6736, 11788, 23576, 47152.
What is 47152 in binary?
1011100000110000 (hexadecimal B830, octal 134060).
What is the square root of 47152?
About 217.1451, exactly 4√2947.
Is 47152 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47152?
It is a composite number with 20 divisors.