The number 7241
7241 is a composite number with 4 divisors. Its prime factorisation is 13 × 557. Divisors (4): 1, 13, 557, 7241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7241: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 557, the product of two primes.
- 2
7241 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 7241 itself that is 571, so 7241 is deficient (571 is less than 7241). Euler's totient φ(7241) = 6672 numbers up to 7241 share no factor with it.
- 4
The digits of 7241 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7241 = 13 \times 557 \]
7241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 6672 |
| Square | 52432081 |
| Cube | 379660698521 |
| Square root | 85.094066 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.241 × |
7241 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and forty-one |
| Binary (base 2) | 1110001001001 |
| Octal (base 8) | 16111 |
| Hexadecimal (base 16) | 1C49 |
| Base 3 | 100221012 |
| As time | 7241 seconds = 2 h 0 min 41 s |
Is 7241 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7241 a prime number?
No. 7241 = 13 × 557, so it is divisible by 13.
What are the factors of 7241?
1, 13, 557, 7241.
What is 7241 in binary?
1110001001001 (hexadecimal 1C49, octal 16111).
What is the square root of 7241?
About 85.0941.
Is 7241 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7241?
7241 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 557, the product of two primes.