The number 16061
16061 is a palindromic prime: it reads the same backwards and is prime, a twin prime (16061 and 16063 are both prime) and the 1867th prime number. Its only divisors are 1 and 16061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16061: a palindromic prime: it reads the same backwards and is prime; a twin prime (16061 and 16063 are both prime); the 1867th prime number; a palindrome: it reads 16061 backwards too.
- 2
16061 is prime, so its only factors are 1 and 16061. It is the 1867th prime; the next prime is 16063 and the one before is 16057.
- 3
The divisors add up to 16062; without 16061 itself that is 1, so 16061 is deficient (1 is less than 16061). Euler's totient φ(16061) = 16060 numbers up to 16061 share no factor with it.
- 4
The digits of 16061 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
16061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16062 |
| Euler totient φ(n) | 16060 |
| Square | 257955721 |
| Cube | 4143026834981 |
| Square root | 126.732001 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6061 × |
16061 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and sixty-one |
| Binary (base 2) | 11111010111101 |
| Octal (base 8) | 37275 |
| Hexadecimal (base 16) | 3EBD |
| Base 3 | 211000212 |
| As time | 16061 seconds = 4 h 27 min 41 s |
Is 16061 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 3) | 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 5) | 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 16061 a prime number?
Yes. 16061 is divisible only by 1 and itself.
What are the factors of 16061?
1, 16061.
What is 16061 in binary?
11111010111101 (hexadecimal 3EBD, octal 37275).
What is the square root of 16061?
About 126.7320.
Is 16061 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16061?
16061 is a palindromic prime: it reads the same backwards and is prime; a twin prime (16061 and 16063 are both prime); the 1867th prime number; a palindrome: it reads 16061 backwards too.