The number 14741
14741 is a palindromic prime: it reads the same backwards and is prime, the 1726th prime number and a palindrome: it reads 14741 backwards too. Its only divisors are 1 and 14741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14741: a palindromic prime: it reads the same backwards and is prime; the 1726th prime number; a palindrome: it reads 14741 backwards too.
- 2
14741 is prime, so its only factors are 1 and 14741. It is the 1726th prime; the next prime is 14747 and the one before is 14737.
- 3
The divisors add up to 14742; without 14741 itself that is 1, so 14741 is deficient (1 is less than 14741). Euler's totient φ(14741) = 14740 numbers up to 14741 share no factor with it.
- 4
The digits of 14741 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 133 steps to reach 1.
14741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14742 |
| Euler totient φ(n) | 14740 |
| Square | 217297081 |
| Cube | 3203176271021 |
| Square root | 121.412520 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4741 × |
14741 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and forty-one |
| Binary (base 2) | 11100110010101 |
| Octal (base 8) | 34625 |
| Hexadecimal (base 16) | 3995 |
| Base 3 | 202012222 |
| As time | 14741 seconds = 4 h 5 min 41 s |
Is 14741 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 6) | 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 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 1) | 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 14741 a prime number?
Yes. 14741 is divisible only by 1 and itself.
What are the factors of 14741?
1, 14741.
What is 14741 in binary?
11100110010101 (hexadecimal 3995, octal 34625).
What is the square root of 14741?
About 121.4125.
Is 14741 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14741?
14741 is a palindromic prime: it reads the same backwards and is prime; the 1726th prime number; a palindrome: it reads 14741 backwards too.