The number 1241
1241 is a binary palindrome (10011011001). Its prime factorisation is 17 × 73. Divisors (4): 1, 17, 73, 1241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1241: a binary palindrome (10011011001); a semiprime: 17 × 73, the product of two primes.
- 2
1241 is composite. Its prime factorisation is
- 3
The divisors add up to 1332; without 1241 itself that is 91, so 1241 is deficient (91 is less than 1241). Euler's totient φ(1241) = 1152 numbers up to 1241 share no factor with it.
- 4
The digits of 1241 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1241 = 17 \times 73 \]
1241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1332 |
| Euler totient φ(n) | 1152 |
| Square | 1540081 |
| Cube | 1911240521 |
| Square root | 35.227830 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.241 × |
1241 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and forty-one |
| Roman numerals | MCCXLI |
| Binary (base 2) | 10011011001 |
| Octal (base 8) | 2331 |
| Hexadecimal (base 16) | 4D9 |
| Base 3 | 1200222 |
| As time | 1241 seconds = 20 min 41 s |
Is 1241 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 2) | 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 9) | 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 1241 a prime number?
No. 1241 = 17 × 73, so it is divisible by 17.
What are the factors of 1241?
1, 17, 73, 1241.
What is 1241 in binary?
10011011001 (hexadecimal 4D9, octal 2331).
What is the square root of 1241?
About 35.2278.
What is 1241 in Roman numerals?
MCCXLI.
Is 1241 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1241?
1241 is a binary palindrome (10011011001); a semiprime: 17 × 73, the product of two primes.