The number 43272
43272 is a composite number with 24 divisors. Its prime factorisation is × × 601. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 601, 1202, 1803, 2404 … 43272.
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How to work it out
- 1
What is special about 43272: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
43272 is composite. Its prime factorisation is
- 3
The divisors add up to 117390; without 43272 itself that is 74118, so 43272 is abundant (74118 is more than 43272). Euler's totient φ(43272) = 14400 numbers up to 43272 share no factor with it.
- 4
The digits of 43272 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43272 = 2^{3} \times 3^{2} \times 601 \]43272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117390 |
| Euler totient φ(n) | 14400 |
| Square | 1872465984 |
| Cube | 81025348059648 |
| Square root | 208.019230 (= 6√1202) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3272 × |
43272 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and seventy-two |
| Binary (base 2) | 1010100100001000 |
| Octal (base 8) | 124410 |
| Hexadecimal (base 16) | A908 |
| Base 3 | 2012100200 |
| As time | 43272 seconds = 12 h 1 min 12 s |
Is 43272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43272 ÷ 2 = 21636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43272 ÷ 3 = 14424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43272 ÷ 4 = 10818) | 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 | Yes (43272 ÷ 6 = 7212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (43272 ÷ 8 = 5409) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43272 ÷ 9 = 4808) | 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 | Yes (43272 ÷ 12 = 3606) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43272 a prime number?
No. 43272 = × × 601, so it is divisible by 2.
What are the factors of 43272?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 601, 1202, 1803, 2404, 3606, 4808, 5409, 7212, 10818, 14424, 21636, 43272.
What is 43272 in binary?
1010100100001000 (hexadecimal A908, octal 124410).
What is the square root of 43272?
About 208.0192, exactly 6√1202.
Is 43272 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43272?
43272 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.