The number 80424
80424 is a composite number with 24 divisors. Its prime factorisation is × × 1117. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1117, 2234, 3351, 4468 … 80424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80424: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
80424 is composite. Its prime factorisation is
- 3
The divisors add up to 218010; without 80424 itself that is 137586, so 80424 is abundant (137586 is more than 80424). Euler's totient φ(80424) = 26784 numbers up to 80424 share no factor with it.
- 4
The digits of 80424 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80424 = 2^{3} \times 3^{2} \times 1117 \]80424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 218010 |
| Euler totient φ(n) | 26784 |
| Square | 6468019776 |
| Cube | 520184022465024 |
| Square root | 283.591255 (= 6√2234) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0424 × |
80424 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and twenty-four |
| Binary (base 2) | 10011101000101000 |
| Octal (base 8) | 235050 |
| Hexadecimal (base 16) | 13A28 |
| Base 3 | 11002022200 |
| As time | 80424 seconds = 22 h 20 min 24 s |
Is 80424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80424 ÷ 2 = 40212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80424 ÷ 3 = 26808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80424 ÷ 4 = 20106) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80424 ÷ 6 = 13404) | 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 | Yes (80424 ÷ 8 = 10053) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80424 ÷ 9 = 8936) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80424 ÷ 12 = 6702) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80424 a prime number?
No. 80424 = × × 1117, so it is divisible by 2.
What are the factors of 80424?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1117, 2234, 3351, 4468, 6702, 8936, 10053, 13404, 20106, 26808, 40212, 80424.
What is 80424 in binary?
10011101000101000 (hexadecimal 13A28, octal 235050).
What is the square root of 80424?
About 283.5913, exactly 6√2234.
Is 80424 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80424?
80424 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.