The number 11741
11741 is a composite number with 4 divisors. Its prime factorisation is 59 × 199. Divisors (4): 1, 59, 199, 11741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11741: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 199, the product of two primes.
- 2
11741 is composite. Its prime factorisation is
- 3
The divisors add up to 12000; without 11741 itself that is 259, so 11741 is deficient (259 is less than 11741). Euler's totient φ(11741) = 11484 numbers up to 11741 share no factor with it.
- 4
The digits of 11741 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11741 = 59 \times 199 \]
11741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12000 |
| Euler totient φ(n) | 11484 |
| Square | 137851081 |
| Cube | 1618509542021 |
| Square root | 108.355895 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1741 × |
11741 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and forty-one |
| Binary (base 2) | 10110111011101 |
| Octal (base 8) | 26735 |
| Hexadecimal (base 16) | 2DDD |
| Base 3 | 121002212 |
| As time | 11741 seconds = 3 h 15 min 41 s |
Is 11741 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 5) | 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 4) | 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 11741 a prime number?
No. 11741 = 59 × 199, so it is divisible by 59.
What are the factors of 11741?
1, 59, 199, 11741.
What is 11741 in binary?
10110111011101 (hexadecimal 2DDD, octal 26735).
What is the square root of 11741?
About 108.3559.
Is 11741 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 11741?
11741 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 199, the product of two primes.