The number 73241
73241 is a composite number with 4 divisors. Its prime factorisation is 7 × 10463. Divisors (4): 1, 7, 10463, 73241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73241: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10463, the product of two primes.
- 2
73241 is composite. Its prime factorisation is
- 3
The divisors add up to 83712; without 73241 itself that is 10471, so 73241 is deficient (10471 is less than 73241). Euler's totient φ(73241) = 62772 numbers up to 73241 share no factor with it.
- 4
The digits of 73241 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73241 = 7 \times 10463 \]
73241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83712 |
| Euler totient φ(n) | 62772 |
| Square | 5364244081 |
| Cube | 392882600736521 |
| Square root | 270.630745 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.3241 × |
73241 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and forty-one |
| Binary (base 2) | 10001111000011001 |
| Octal (base 8) | 217031 |
| Hexadecimal (base 16) | 11E19 |
| Base 3 | 10201110122 |
| As time | 73241 seconds = 20 h 20 min 41 s |
Is 73241 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73241 ÷ 7 = 10463) | 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 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73241 a prime number?
No. 73241 = 7 × 10463, so it is divisible by 7.
What are the factors of 73241?
1, 7, 10463, 73241.
What is 73241 in binary?
10001111000011001 (hexadecimal 11E19, octal 217031).
What is the square root of 73241?
About 270.6307.
Is 73241 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73241?
73241 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10463, the product of two primes.