The number 16141
16141 is a twin prime (16139 and 16141 are both prime) and the 1879th prime number. Its only divisors are 1 and 16141.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16141: a twin prime (16139 and 16141 are both prime); the 1879th prime number.
- 2
16141 is prime, so its only factors are 1 and 16141. It is the 1879th prime; the next prime is 16183 and the one before is 16139.
- 3
The divisors add up to 16142; without 16141 itself that is 1, so 16141 is deficient (1 is less than 16141). Euler's totient φ(16141) = 16140 numbers up to 16141 share no factor with it.
- 4
The digits of 16141 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
16141 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16142 |
| Euler totient φ(n) | 16140 |
| Square | 260531881 |
| Cube | 4205245091221 |
| Square root | 127.047235 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6141 × |
16141 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and forty-one |
| Binary (base 2) | 11111100001101 |
| Octal (base 8) | 37415 |
| Hexadecimal (base 16) | 3F0D |
| Base 3 | 211010211 |
| As time | 16141 seconds = 4 h 29 min 1 s |
Is 16141 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 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16141 a prime number?
Yes. 16141 is divisible only by 1 and itself.
What are the factors of 16141?
1, 16141.
What is 16141 in binary?
11111100001101 (hexadecimal 3F0D, octal 37415).
What is the square root of 16141?
About 127.0472.
Is 16141 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16141?
16141 is a twin prime (16139 and 16141 are both prime); the 1879th prime number.