The number 47672
47672 is a composite number with 16 divisors. Its prime factorisation is × 59 × 101. Divisors (16): 1, 2, 4, 8, 59, 101, 118, 202, 236, 404, 472, 808, 5959, 11918, 23836, 47672.
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How to work it out
- 1
47672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47672 is composite. Its prime factorisation is
- 3
The divisors add up to 91800; without 47672 itself that is 44128, so 47672 is deficient (44128 is less than 47672). Euler's totient φ(47672) = 23200 numbers up to 47672 share no factor with it.
- 4
The digits of 47672 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47672 = 2^{3} \times 59 \times 101 \]47672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91800 |
| Euler totient φ(n) | 23200 |
| Square | 2272619584 |
| Cube | 108340320808448 |
| Square root | 218.339186 (= 2√11918) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7672 × |
47672 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and seventy-two |
| Binary (base 2) | 1011101000111000 |
| Octal (base 8) | 135070 |
| Hexadecimal (base 16) | BA38 |
| Base 3 | 2102101122 |
| As time | 47672 seconds = 13 h 14 min 32 s |
Is 47672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47672 ÷ 2 = 23836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47672 ÷ 4 = 11918) | 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 2) | 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 | Yes (47672 ÷ 8 = 5959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47672 a prime number?
No. 47672 = × 59 × 101, so it is divisible by 2.
What are the factors of 47672?
1, 2, 4, 8, 59, 101, 118, 202, 236, 404, 472, 808, 5959, 11918, 23836, 47672.
What is 47672 in binary?
1011101000111000 (hexadecimal BA38, octal 135070).
What is the square root of 47672?
About 218.3392, exactly 2√11918.
Is 47672 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47672?
It is a composite number with 16 divisors.