The number 16901
16901 is a twin prime (16901 and 16903 are both prime) and the 1949th prime number. Its only divisors are 1 and 16901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16901: a twin prime (16901 and 16903 are both prime); the 1949th prime number.
- 2
16901 is prime, so its only factors are 1 and 16901. It is the 1949th prime; the next prime is 16903 and the one before is 16889.
- 3
The divisors add up to 16902; without 16901 itself that is 1, so 16901 is deficient (1 is less than 16901). Euler's totient φ(16901) = 16900 numbers up to 16901 share no factor with it.
- 4
The digits of 16901 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
16901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16902 |
| Euler totient φ(n) | 16900 |
| Square | 285643801 |
| Cube | 4827665880701 |
| Square root | 130.003846 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.6901 × |
16901 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and one |
| Binary (base 2) | 100001000000101 |
| Octal (base 8) | 41005 |
| Hexadecimal (base 16) | 4205 |
| Base 3 | 212011222 |
| As time | 16901 seconds = 4 h 41 min 41 s |
Is 16901 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 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 5) | 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 16901 a prime number?
Yes. 16901 is divisible only by 1 and itself.
What are the factors of 16901?
1, 16901.
What is 16901 in binary?
100001000000101 (hexadecimal 4205, octal 41005).
What is the square root of 16901?
About 130.0038.
Is 16901 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16901?
16901 is a twin prime (16901 and 16903 are both prime); the 1949th prime number.