The number 80448
80448 is a composite number with 28 divisors. Its prime factorisation is × 3 × 419. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 419, 838 … 80448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80448: a Harshad number: divisible by its digit sum 24.
- 2
80448 is composite. Its prime factorisation is
- 3
The divisors add up to 213360; without 80448 itself that is 132912, so 80448 is abundant (132912 is more than 80448). Euler's totient φ(80448) = 26752 numbers up to 80448 share no factor with it.
- 4
The digits of 80448 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80448 = 2^{6} \times 3 \times 419 \]80448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 213360 |
| Euler totient φ(n) | 26752 |
| Square | 6471880704 |
| Cube | 520649858875392 |
| Square root | 283.633566 (= 8√1257) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0448 × |
80448 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and forty-eight |
| Binary (base 2) | 10011101001000000 |
| Octal (base 8) | 235100 |
| Hexadecimal (base 16) | 13A40 |
| Base 3 | 11002100120 |
| As time | 80448 seconds = 22 h 20 min 48 s |
Is 80448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80448 ÷ 2 = 40224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80448 ÷ 3 = 26816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80448 ÷ 4 = 20112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80448 ÷ 6 = 13408) | 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 | Yes (80448 ÷ 8 = 10056) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (80448 ÷ 12 = 6704) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80448 a prime number?
No. 80448 = × 3 × 419, so it is divisible by 2.
What are the factors of 80448?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 419, 838, 1257, 1676, 2514, 3352, 5028, 6704, 10056, 13408, 20112, 26816, 40224, 80448.
What is 80448 in binary?
10011101001000000 (hexadecimal 13A40, octal 235100).
What is the square root of 80448?
About 283.6336, exactly 8√1257.
Is 80448 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80448?
80448 is a Harshad number: divisible by its digit sum 24.