The number 72243
72243 is a composite number with 12 divisors. Its prime factorisation is × 23 × 349. Divisors (12): 1, 3, 9, 23, 69, 207, 349, 1047, 3141, 8027, 24081, 72243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72243: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72243 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 72243 itself that is 36957, so 72243 is deficient (36957 is less than 72243). Euler's totient φ(72243) = 45936 numbers up to 72243 share no factor with it.
- 4
The digits of 72243 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72243 = 3^{2} \times 23 \times 349 \]72243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 45936 |
| Square | 5219051049 |
| Cube | 377039904932907 |
| Square root | 268.780580 (= 3√8027) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2243 × |
72243 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and forty-three |
| Binary (base 2) | 10001101000110011 |
| Octal (base 8) | 215063 |
| Hexadecimal (base 16) | 11A33 |
| Base 3 | 10200002200 |
| As time | 72243 seconds = 20 h 4 min 3 s |
Is 72243 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72243 ÷ 3 = 24081) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72243 ÷ 9 = 8027) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72243 a prime number?
No. 72243 = × 23 × 349, so it is divisible by 3.
What are the factors of 72243?
1, 3, 9, 23, 69, 207, 349, 1047, 3141, 8027, 24081, 72243.
What is 72243 in binary?
10001101000110011 (hexadecimal 11A33, octal 215063).
What is the square root of 72243?
About 268.7806, exactly 3√8027.
Is 72243 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72243?
72243 is a happy number: repeatedly adding the squares of its digits reaches 1.