The number 16801
16801 is a composite number with 4 divisors. Its prime factorisation is 53 × 317. Divisors (4): 1, 53, 317, 16801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16801: a semiprime: 53 × 317, the product of two primes.
- 2
16801 is composite. Its prime factorisation is
- 3
The divisors add up to 17172; without 16801 itself that is 371, so 16801 is deficient (371 is less than 16801). Euler's totient φ(16801) = 16432 numbers up to 16801 share no factor with it.
- 4
The digits of 16801 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16801 = 53 \times 317 \]
16801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17172 |
| Euler totient φ(n) | 16432 |
| Square | 282273601 |
| Cube | 4742478770401 |
| Square root | 129.618671 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6801 × |
16801 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and one |
| Binary (base 2) | 100000110100001 |
| Octal (base 8) | 40641 |
| Hexadecimal (base 16) | 41A1 |
| Base 3 | 212001021 |
| As time | 16801 seconds = 4 h 40 min 1 s |
Is 16801 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16801 a prime number?
No. 16801 = 53 × 317, so it is divisible by 53.
What are the factors of 16801?
1, 53, 317, 16801.
What is 16801 in binary?
100000110100001 (hexadecimal 41A1, octal 40641).
What is the square root of 16801?
About 129.6187.
Is 16801 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16801?
16801 is a semiprime: 53 × 317, the product of two primes.