The number 16139
16139 is a twin prime (16139 and 16141 are both prime) and the 1878th prime number. Its only divisors are 1 and 16139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16139: a twin prime (16139 and 16141 are both prime); the 1878th prime number.
- 2
16139 is prime, so its only factors are 1 and 16139. It is the 1878th prime; the next prime is 16141 and the one before is 16127.
- 3
The divisors add up to 16140; without 16139 itself that is 1, so 16139 is deficient (1 is less than 16139). Euler's totient φ(16139) = 16138 numbers up to 16139 share no factor with it.
- 4
The digits of 16139 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
16139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16140 |
| Euler totient φ(n) | 16138 |
| Square | 260467321 |
| Cube | 4203682093619 |
| Square root | 127.039364 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6139 × |
16139 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and thirty-nine |
| Binary (base 2) | 11111100001011 |
| Octal (base 8) | 37413 |
| Hexadecimal (base 16) | 3F0B |
| Base 3 | 211010202 |
| As time | 16139 seconds = 4 h 28 min 59 s |
Is 16139 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16139 a prime number?
Yes. 16139 is divisible only by 1 and itself.
What are the factors of 16139?
1, 16139.
What is 16139 in binary?
11111100001011 (hexadecimal 3F0B, octal 37413).
What is the square root of 16139?
About 127.0394.
Is 16139 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16139?
16139 is a twin prime (16139 and 16141 are both prime); the 1878th prime number.