The number 16420
16420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 821. Divisors (12): 1, 2, 4, 5, 10, 20, 821, 1642, 3284, 4105, 8210, 16420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16420 is composite. Its prime factorisation is
- 3
The divisors add up to 34524; without 16420 itself that is 18104, so 16420 is abundant (18104 is more than 16420). Euler's totient φ(16420) = 6560 numbers up to 16420 share no factor with it.
- 4
The digits of 16420 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16420 = 2^{2} \times 5 \times 821 \]16420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34524 |
| Euler totient φ(n) | 6560 |
| Square | 269616400 |
| Cube | 4427101288000 |
| Square root | 128.140548 (= 2√4105) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.642 × |
16420 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twenty |
| Binary (base 2) | 100000000100100 |
| Octal (base 8) | 40044 |
| Hexadecimal (base 16) | 4024 |
| Base 3 | 211112011 |
| As time | 16420 seconds = 4 h 33 min 40 s |
Is 16420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16420 ÷ 2 = 8210) | 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 | Yes (16420 ÷ 4 = 4105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16420 ÷ 5 = 3284) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16420 ÷ 10 = 1642) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16420 a prime number?
No. 16420 = × 5 × 821, so it is divisible by 2.
What are the factors of 16420?
1, 2, 4, 5, 10, 20, 821, 1642, 3284, 4105, 8210, 16420.
What is 16420 in binary?
100000000100100 (hexadecimal 4024, octal 40044).
What is the square root of 16420?
About 128.1405, exactly 2√4105.
Is 16420 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16420?
It is a composite number with 12 divisors.