The number 16481
16481 is the 1910th prime number. Its only divisors are 1 and 16481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16481: the 1910th prime number.
- 2
16481 is prime, so its only factors are 1 and 16481. It is the 1910th prime; the next prime is 16487 and the one before is 16477.
- 3
The divisors add up to 16482; without 16481 itself that is 1, so 16481 is deficient (1 is less than 16481). Euler's totient φ(16481) = 16480 numbers up to 16481 share no factor with it.
- 4
The digits of 16481 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 97 steps to reach 1.
16481 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16482 |
| Euler totient φ(n) | 16480 |
| Square | 271623361 |
| Cube | 4476624612641 |
| Square root | 128.378347 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6481 × |
16481 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and eighty-one |
| Binary (base 2) | 100000001100001 |
| Octal (base 8) | 40141 |
| Hexadecimal (base 16) | 4061 |
| Base 3 | 211121102 |
| As time | 16481 seconds = 4 h 34 min 41 s |
Is 16481 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 1) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16481 a prime number?
Yes. 16481 is divisible only by 1 and itself.
What are the factors of 16481?
1, 16481.
What is 16481 in binary?
100000001100001 (hexadecimal 4061, octal 40141).
What is the square root of 16481?
About 128.3783.
Is 16481 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16481?
16481 is the 1910th prime number.