The number 16001
16001 is the 1863rd prime number. Its only divisors are 1 and 16001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16001: the 1863rd prime number.
- 2
16001 is prime, so its only factors are 1 and 16001. It is the 1863rd prime; the next prime is 16007 and the one before is 15991.
- 3
The divisors add up to 16002; without 16001 itself that is 1, so 16001 is deficient (1 is less than 16001). Euler's totient φ(16001) = 16000 numbers up to 16001 share no factor with it.
- 4
The digits of 16001 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
16001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16002 |
| Euler totient φ(n) | 16000 |
| Square | 256032001 |
| Cube | 4096768048001 |
| Square root | 126.495059 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.6001 × |
16001 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and one |
| Binary (base 2) | 11111010000001 |
| Octal (base 8) | 37201 |
| Hexadecimal (base 16) | 3E81 |
| Base 3 | 210221122 |
| As time | 16001 seconds = 4 h 26 min 41 s |
Is 16001 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 16001 a prime number?
Yes. 16001 is divisible only by 1 and itself.
What are the factors of 16001?
1, 16001.
What is 16001 in binary?
11111010000001 (hexadecimal 3E81, octal 37201).
What is the square root of 16001?
About 126.4951.
Is 16001 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 16001?
16001 is the 1863rd prime number.