The number 80420
80420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4021. Divisors (12): 1, 2, 4, 5, 10, 20, 4021, 8042, 16084, 20105, 40210, 80420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80420 is composite. Its prime factorisation is
- 3
The divisors add up to 168924; without 80420 itself that is 88504, so 80420 is abundant (88504 is more than 80420). Euler's totient φ(80420) = 32160 numbers up to 80420 share no factor with it.
- 4
The digits of 80420 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80420 = 2^{2} \times 5 \times 4021 \]80420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 168924 |
| Euler totient φ(n) | 32160 |
| Square | 6467376400 |
| Cube | 520106410088000 |
| Square root | 283.584203 (= 2√20105) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.042 × |
80420 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and twenty |
| Binary (base 2) | 10011101000100100 |
| Octal (base 8) | 235044 |
| Hexadecimal (base 16) | 13A24 |
| Base 3 | 11002022112 |
| As time | 80420 seconds = 22 h 20 min 20 s |
Is 80420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80420 ÷ 2 = 40210) | 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 (80420 ÷ 4 = 20105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80420 ÷ 5 = 16084) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80420 ÷ 10 = 8042) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 80420 a prime number?
No. 80420 = × 5 × 4021, so it is divisible by 2.
What are the factors of 80420?
1, 2, 4, 5, 10, 20, 4021, 8042, 16084, 20105, 40210, 80420.
What is 80420 in binary?
10011101000100100 (hexadecimal 13A24, octal 235044).
What is the square root of 80420?
About 283.5842, exactly 2√20105.
Is 80420 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80420?
It is a composite number with 12 divisors.