The number 73441
73441 is a perfect square (271²). Its prime factorisation is . Divisors (3): 1, 271, 73441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73441: a perfect square (271²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (271²).
- 2
73441 is composite. Its prime factorisation is
- 3
The divisors add up to 73713; without 73441 itself that is 272, so 73441 is deficient (272 is less than 73441). Euler's totient φ(73441) = 73170 numbers up to 73441 share no factor with it.
- 4
The digits of 73441 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73441 = 271^{2} \]73441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 73713 |
| Euler totient φ(n) | 73170 |
| Square | 5393580481 |
| Cube | 396109944105121 |
| Square root | 271 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3441 × |
| Perfect power |
73441 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and forty-one |
| Binary (base 2) | 10001111011100001 |
| Octal (base 8) | 217341 |
| Hexadecimal (base 16) | 11EE1 |
| Base 3 | 10201202001 |
| As time | 73441 seconds = 20 h 24 min 1 s |
Is 73441 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 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73441 a prime number?
No. 73441 = , so it is divisible by 271.
What are the factors of 73441?
1, 271, 73441.
What is 73441 in binary?
10001111011100001 (hexadecimal 11EE1, octal 217341).
What is the square root of 73441?
271, because 271 × 271 = 73441.
Is 73441 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73441?
73441 is a perfect square (271²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (271²).