The number 43722
43722 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 347. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 347, 694, 1041, 2082 … 43722.
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How to work it out
- 1
What is special about 43722: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
43722 is composite. Its prime factorisation is
- 3
The divisors add up to 108576; without 43722 itself that is 64854, so 43722 is abundant (64854 is more than 43722). Euler's totient φ(43722) = 12456 numbers up to 43722 share no factor with it.
- 4
The digits of 43722 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43722 = 2 \times 3^{2} \times 7 \times 347 \]43722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108576 |
| Euler totient φ(n) | 12456 |
| Square | 1911613284 |
| Cube | 83579556003048 |
| Square root | 209.098063 (= 3√4858) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3722 × |
43722 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and twenty-two |
| Binary (base 2) | 1010101011001010 |
| Octal (base 8) | 125312 |
| Hexadecimal (base 16) | AACA |
| Base 3 | 2012222100 |
| As time | 43722 seconds = 12 h 8 min 42 s |
Is 43722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43722 ÷ 2 = 21861) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43722 ÷ 3 = 14574) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (43722 ÷ 6 = 7287) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43722 ÷ 7 = 6246) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43722 ÷ 9 = 4858) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43722 a prime number?
No. 43722 = 2 × × 7 × 347, so it is divisible by 2.
What are the factors of 43722?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 347, 694, 1041, 2082, 2429, 3123, 4858, 6246, 7287, 14574, 21861, 43722.
What is 43722 in binary?
1010101011001010 (hexadecimal AACA, octal 125312).
What is the square root of 43722?
About 209.0981, exactly 3√4858.
Is 43722 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43722?
43722 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.