The number 43572
43572 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3631. Divisors (12): 1, 2, 3, 4, 6, 12, 3631, 7262, 10893, 14524, 21786, 43572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43572 is composite. Its prime factorisation is
- 3
The divisors add up to 101696; without 43572 itself that is 58124, so 43572 is abundant (58124 is more than 43572). Euler's totient φ(43572) = 14520 numbers up to 43572 share no factor with it.
- 4
The digits of 43572 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43572 = 2^{2} \times 3 \times 3631 \]43572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101696 |
| Euler totient φ(n) | 14520 |
| Square | 1898519184 |
| Cube | 82722277885248 |
| Square root | 208.739072 (= 2√10893) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3572 × |
43572 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and seventy-two |
| Binary (base 2) | 1010101000110100 |
| Octal (base 8) | 125064 |
| Hexadecimal (base 16) | AA34 |
| Base 3 | 2012202210 |
| As time | 43572 seconds = 12 h 6 min 12 s |
Is 43572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43572 ÷ 2 = 21786) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43572 ÷ 3 = 14524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43572 ÷ 4 = 10893) | 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 (43572 ÷ 6 = 7262) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43572 ÷ 12 = 3631) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43572 a prime number?
No. 43572 = × 3 × 3631, so it is divisible by 2.
What are the factors of 43572?
1, 2, 3, 4, 6, 12, 3631, 7262, 10893, 14524, 21786, 43572.
What is 43572 in binary?
1010101000110100 (hexadecimal AA34, octal 125064).
What is the square root of 43572?
About 208.7391, exactly 2√10893.
Is 43572 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43572?
43572 is a happy number: repeatedly adding the squares of its digits reaches 1.