The number 16820
16820 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580, 841, 1682, 3364, 4205 … 16820.
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How to work it out
- 1
16820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16820 is composite. Its prime factorisation is
- 3
The divisors add up to 36582; without 16820 itself that is 19762, so 16820 is abundant (19762 is more than 16820). Euler's totient φ(16820) = 6496 numbers up to 16820 share no factor with it.
- 4
The digits of 16820 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16820 = 2^{2} \times 5 \times 29^{2} \]16820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 36582 |
| Euler totient φ(n) | 6496 |
| Square | 282912400 |
| Cube | 4758586568000 |
| Square root | 129.691943 (= 58√5) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.682 × |
16820 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty |
| Binary (base 2) | 100000110110100 |
| Octal (base 8) | 40664 |
| Hexadecimal (base 16) | 41B4 |
| Base 3 | 212001222 |
| As time | 16820 seconds = 4 h 40 min 20 s |
Is 16820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16820 ÷ 2 = 8410) | 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 | Yes (16820 ÷ 4 = 4205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16820 ÷ 5 = 3364) | 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 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 4) | 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 | Yes (16820 ÷ 10 = 1682) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16820 a prime number?
No. 16820 = × 5 × , so it is divisible by 2.
What are the factors of 16820?
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580, 841, 1682, 3364, 4205, 8410, 16820.
What is 16820 in binary?
100000110110100 (hexadecimal 41B4, octal 40664).
What is the square root of 16820?
About 129.6919, exactly 58√5.
Is 16820 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16820?
It is a composite number with 18 divisors.