The number 72441
72441 is a composite number with 8 divisors. Its prime factorisation is × 2683. Divisors (8): 1, 3, 9, 27, 2683, 8049, 24147, 72441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72441: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72441 is composite. Its prime factorisation is
- 3
The divisors add up to 107360; without 72441 itself that is 34919, so 72441 is deficient (34919 is less than 72441). Euler's totient φ(72441) = 48276 numbers up to 72441 share no factor with it.
- 4
The digits of 72441 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72441 = 3^{3} \times 2683 \]72441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 107360 |
| Euler totient φ(n) | 48276 |
| Square | 5247698481 |
| Cube | 380148525662121 |
| Square root | 269.148658 (= 3√8049) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2441 × |
72441 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and forty-one |
| Binary (base 2) | 10001101011111001 |
| Octal (base 8) | 215371 |
| Hexadecimal (base 16) | 11AF9 |
| Base 3 | 10200101000 |
| As time | 72441 seconds = 20 h 7 min 21 s |
Is 72441 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 (72441 ÷ 3 = 24147) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72441 ÷ 9 = 8049) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72441 a prime number?
No. 72441 = × 2683, so it is divisible by 3.
What are the factors of 72441?
1, 3, 9, 27, 2683, 8049, 24147, 72441.
What is 72441 in binary?
10001101011111001 (hexadecimal 11AF9, octal 215371).
What is the square root of 72441?
About 269.1487, exactly 3√8049.
Is 72441 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72441?
72441 is a happy number: repeatedly adding the squares of its digits reaches 1.