The number 43216
43216 is a composite number with 20 divisors. Its prime factorisation is × 37 × 73. Divisors (20): 1, 2, 4, 8, 16, 37, 73, 74, 146, 148, 292, 296, 584, 592, 1168, 2701 … 43216.
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How to work it out
- 1
What is special about 43216: a Harshad number: divisible by its digit sum 16.
- 2
43216 is composite. Its prime factorisation is
- 3
The divisors add up to 87172; without 43216 itself that is 43956, so 43216 is abundant (43956 is more than 43216). Euler's totient φ(43216) = 20736 numbers up to 43216 share no factor with it.
- 4
The digits of 43216 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43216 = 2^{4} \times 37 \times 73 \]43216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 87172 |
| Euler totient φ(n) | 20736 |
| Square | 1867622656 |
| Cube | 80711180701696 |
| Square root | 207.884583 (= 4√2701) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3216 × |
43216 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and sixteen |
| Binary (base 2) | 1010100011010000 |
| Octal (base 8) | 124320 |
| Hexadecimal (base 16) | A8D0 |
| Base 3 | 2012021121 |
| As time | 43216 seconds = 12 h 0 min 16 s |
Is 43216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43216 ÷ 2 = 21608) | 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 (43216 ÷ 4 = 10804) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 (43216 ÷ 8 = 5402) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 43216 a prime number?
No. 43216 = × 37 × 73, so it is divisible by 2.
What are the factors of 43216?
1, 2, 4, 8, 16, 37, 73, 74, 146, 148, 292, 296, 584, 592, 1168, 2701, 5402, 10804, 21608, 43216.
What is 43216 in binary?
1010100011010000 (hexadecimal A8D0, octal 124320).
What is the square root of 43216?
About 207.8846, exactly 4√2701.
Is 43216 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43216?
43216 is a Harshad number: divisible by its digit sum 16.