The number 43672
43672 is a composite number with 16 divisors. Its prime factorisation is × 53 × 103. Divisors (16): 1, 2, 4, 8, 53, 103, 106, 206, 212, 412, 424, 824, 5459, 10918, 21836, 43672.
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How to work it out
- 1
43672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43672 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 43672 itself that is 40568, so 43672 is deficient (40568 is less than 43672). Euler's totient φ(43672) = 21216 numbers up to 43672 share no factor with it.
- 4
The digits of 43672 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43672 = 2^{3} \times 53 \times 103 \]43672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 21216 |
| Square | 1907243584 |
| Cube | 83293141800448 |
| Square root | 208.978468 (= 2√10918) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3672 × |
43672 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and seventy-two |
| Binary (base 2) | 1010101010011000 |
| Octal (base 8) | 125230 |
| Hexadecimal (base 16) | AA98 |
| Base 3 | 2012220111 |
| As time | 43672 seconds = 12 h 7 min 52 s |
Is 43672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43672 ÷ 2 = 21836) | 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 (43672 ÷ 4 = 10918) | 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 6) | 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 (43672 ÷ 8 = 5459) | 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 43672 a prime number?
No. 43672 = × 53 × 103, so it is divisible by 2.
What are the factors of 43672?
1, 2, 4, 8, 53, 103, 106, 206, 212, 412, 424, 824, 5459, 10918, 21836, 43672.
What is 43672 in binary?
1010101010011000 (hexadecimal AA98, octal 125230).
What is the square root of 43672?
About 208.9785, exactly 2√10918.
Is 43672 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 43672?
It is a composite number with 16 divisors.