The number 43472
43472 is a composite number with 40 divisors. Its prime factorisation is × 11 × 13 × 19. Divisors (40): 1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 38, 44, 52, 76, 88, 104 … 43472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43472: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43472 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 43472 itself that is 60688, so 43472 is abundant (60688 is more than 43472). Euler's totient φ(43472) = 17280 numbers up to 43472 share no factor with it.
- 4
The digits of 43472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43472 = 2^{4} \times 11 \times 13 \times 19 \]43472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 17280 |
| Square | 1889814784 |
| Cube | 82154028290048 |
| Square root | 208.499400 (= 4√2717) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3472 × |
43472 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and seventy-two |
| Binary (base 2) | 1010100111010000 |
| Octal (base 8) | 124720 |
| Hexadecimal (base 16) | A9D0 |
| Base 3 | 2012122002 |
| As time | 43472 seconds = 12 h 4 min 32 s |
Is 43472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43472 ÷ 2 = 21736) | 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 (43472 ÷ 4 = 10868) | 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 (43472 ÷ 8 = 5434) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (43472 ÷ 11 = 3952) | 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 43472 a prime number?
No. 43472 = × 11 × 13 × 19, so it is divisible by 2.
What are the factors of 43472?
1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 38, 44, 52, 76, 88, 104, 143, 152, 176, 208, 209, 247, 286, 304, 418, 494, 572, 836, 988, 1144, 1672, 1976, 2288, 2717, 3344, 3952, 5434, 10868, 21736, 43472.
What is 43472 in binary?
1010100111010000 (hexadecimal A9D0, octal 124720).
What is the square root of 43472?
About 208.4994, exactly 4√2717.
Is 43472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43472?
43472 is a happy number: repeatedly adding the squares of its digits reaches 1.