The number 16741
16741 is the 1935th prime number. Its only divisors are 1 and 16741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16741: the 1935th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16741 is prime, so its only factors are 1 and 16741. It is the 1935th prime; the next prime is 16747 and the one before is 16729.
- 3
The divisors add up to 16742; without 16741 itself that is 1, so 16741 is deficient (1 is less than 16741). Euler's totient φ(16741) = 16740 numbers up to 16741 share no factor with it.
- 4
The digits of 16741 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
16741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16742 |
| Euler totient φ(n) | 16740 |
| Square | 280261081 |
| Cube | 4691850757021 |
| Square root | 129.387016 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6741 × |
16741 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty-one |
| Binary (base 2) | 100000101100101 |
| Octal (base 8) | 40545 |
| Hexadecimal (base 16) | 4165 |
| Base 3 | 211222001 |
| As time | 16741 seconds = 4 h 39 min 1 s |
Is 16741 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 | No (remainder 4) | 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 1) | 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 10) | 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 16741 a prime number?
Yes. 16741 is divisible only by 1 and itself.
What are the factors of 16741?
1, 16741.
What is 16741 in binary?
100000101100101 (hexadecimal 4165, octal 40545).
What is the square root of 16741?
About 129.3870.
Is 16741 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16741?
16741 is the 1935th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.