The number 43212
43212 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 277. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 277, 554, 831, 1108 … 43212.
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How to work it out
- 1
What is special about 43212: a Harshad number: divisible by its digit sum 12.
- 2
43212 is composite. Its prime factorisation is
- 3
The divisors add up to 108976; without 43212 itself that is 65764, so 43212 is abundant (65764 is more than 43212). Euler's totient φ(43212) = 13248 numbers up to 43212 share no factor with it.
- 4
The digits of 43212 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43212 = 2^{2} \times 3 \times 13 \times 277 \]43212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108976 |
| Euler totient φ(n) | 13248 |
| Square | 1867276944 |
| Cube | 80688771304128 |
| Square root | 207.874962 (= 2√10803) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3212 × |
43212 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and twelve |
| Binary (base 2) | 1010100011001100 |
| Octal (base 8) | 124314 |
| Hexadecimal (base 16) | A8CC |
| Base 3 | 2012021110 |
| As time | 43212 seconds = 12 h 0 min 12 s |
Is 43212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43212 ÷ 2 = 21606) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43212 ÷ 3 = 14404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43212 ÷ 4 = 10803) | 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 (43212 ÷ 6 = 7202) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43212 ÷ 12 = 3601) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43212 a prime number?
No. 43212 = × 3 × 13 × 277, so it is divisible by 2.
What are the factors of 43212?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 277, 554, 831, 1108, 1662, 3324, 3601, 7202, 10803, 14404, 21606, 43212.
What is 43212 in binary?
1010100011001100 (hexadecimal A8CC, octal 124314).
What is the square root of 43212?
About 207.8750, exactly 2√10803.
Is 43212 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 43212?
43212 is a Harshad number: divisible by its digit sum 12.