The number 20448
20448 is a composite number with 36 divisors. Its prime factorisation is × × 71. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 71, 72 … 20448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20448: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
20448 is composite. Its prime factorisation is
- 3
The divisors add up to 58968; without 20448 itself that is 38520, so 20448 is abundant (38520 is more than 20448). Euler's totient φ(20448) = 6720 numbers up to 20448 share no factor with it.
- 4
The digits of 20448 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20448 = 2^{5} \times 3^{2} \times 71 \]20448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 58968 |
| Euler totient φ(n) | 6720 |
| Square | 418120704 |
| Cube | 8549732155392 |
| Square root | 142.996503 (= 12√142) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0448 × |
20448 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and forty-eight |
| Binary (base 2) | 100111111100000 |
| Octal (base 8) | 47740 |
| Hexadecimal (base 16) | 4FE0 |
| Base 3 | 1001001100 |
| As time | 20448 seconds = 5 h 40 min 48 s |
Is 20448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20448 ÷ 2 = 10224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20448 ÷ 3 = 6816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20448 ÷ 4 = 5112) | 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 (20448 ÷ 6 = 3408) | 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 (20448 ÷ 8 = 2556) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20448 ÷ 9 = 2272) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20448 ÷ 12 = 1704) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20448 a prime number?
No. 20448 = × × 71, so it is divisible by 2.
What are the factors of 20448?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 71, 72, 96, 142, 144, 213, 284, 288, 426, 568, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 5112, 6816, 10224, 20448.
What is 20448 in binary?
100111111100000 (hexadecimal 4FE0, octal 47740).
What is the square root of 20448?
About 142.9965, exactly 12√142.
Is 20448 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20448?
20448 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.