The number 16802
16802 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 271. Divisors (8): 1, 2, 31, 62, 271, 542, 8401, 16802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16802 is composite. Its prime factorisation is
- 3
The divisors add up to 26112; without 16802 itself that is 9310, so 16802 is deficient (9310 is less than 16802). Euler's totient φ(16802) = 8100 numbers up to 16802 share no factor with it.
- 4
The digits of 16802 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16802 = 2 \times 31 \times 271 \]
16802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26112 |
| Euler totient φ(n) | 8100 |
| Square | 282307204 |
| Cube | 4743325641608 |
| Square root | 129.622529 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6802 × |
16802 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and two |
| Binary (base 2) | 100000110100010 |
| Octal (base 8) | 40642 |
| Hexadecimal (base 16) | 41A2 |
| Base 3 | 212001022 |
| As time | 16802 seconds = 4 h 40 min 2 s |
Is 16802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16802 ÷ 2 = 8401) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16802 a prime number?
No. 16802 = 2 × 31 × 271, so it is divisible by 2.
What are the factors of 16802?
1, 2, 31, 62, 271, 542, 8401, 16802.
What is 16802 in binary?
100000110100010 (hexadecimal 41A2, octal 40642).
What is the square root of 16802?
About 129.6225.
Is 16802 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16802?
It is a composite number with 8 divisors.