The number 13741
13741 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 151. Divisors (8): 1, 7, 13, 91, 151, 1057, 1963, 13741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13741 is composite. Its prime factorisation is
- 3
The divisors add up to 17024; without 13741 itself that is 3283, so 13741 is deficient (3283 is less than 13741). Euler's totient φ(13741) = 10800 numbers up to 13741 share no factor with it.
- 4
The digits of 13741 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13741 = 7 \times 13 \times 151 \]
13741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17024 |
| Euler totient φ(n) | 10800 |
| Square | 188815081 |
| Cube | 2594508028021 |
| Square root | 117.222012 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3741 × |
13741 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-one |
| Binary (base 2) | 11010110101101 |
| Octal (base 8) | 32655 |
| Hexadecimal (base 16) | 35AD |
| Base 3 | 200211221 |
| As time | 13741 seconds = 3 h 49 min 1 s |
Is 13741 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 | Yes (13741 ÷ 7 = 1963) | 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 7) | 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 2) | 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 13741 a prime number?
No. 13741 = 7 × 13 × 151, so it is divisible by 7.
What are the factors of 13741?
1, 7, 13, 91, 151, 1057, 1963, 13741.
What is 13741 in binary?
11010110101101 (hexadecimal 35AD, octal 32655).
What is the square root of 13741?
About 117.2220.
Is 13741 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13741?
It is a composite number with 8 divisors.