The number 16063
16063 is a twin prime (16061 and 16063 are both prime) and the 1868th prime number. Its only divisors are 1 and 16063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16063: a twin prime (16061 and 16063 are both prime); the 1868th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16063 is prime, so its only factors are 1 and 16063. It is the 1868th prime; the next prime is 16067 and the one before is 16061.
- 3
The divisors add up to 16064; without 16063 itself that is 1, so 16063 is deficient (1 is less than 16063). Euler's totient φ(16063) = 16062 numbers up to 16063 share no factor with it.
- 4
The digits of 16063 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 234 steps to reach 1.
16063 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16064 |
| Euler totient φ(n) | 16062 |
| Square | 258019969 |
| Cube | 4144574762047 |
| Square root | 126.739891 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 234 |
| Scientific notation | 1.6063 × |
16063 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and sixty-three |
| Binary (base 2) | 11111010111111 |
| Octal (base 8) | 37277 |
| Hexadecimal (base 16) | 3EBF |
| Base 3 | 211000221 |
| As time | 16063 seconds = 4 h 27 min 43 s |
Is 16063 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16063 a prime number?
Yes. 16063 is divisible only by 1 and itself.
What are the factors of 16063?
1, 16063.
What is 16063 in binary?
11111010111111 (hexadecimal 3EBF, octal 37277).
What is the square root of 16063?
About 126.7399.
Is 16063 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16063?
16063 is a twin prime (16061 and 16063 are both prime); the 1868th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.