The number 20449
20449 is a perfect square (143²). Its prime factorisation is × . Divisors (9): 1, 11, 13, 121, 143, 169, 1573, 1859, 20449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20449: a perfect square (143²).
- 2
20449 is composite. Its prime factorisation is
- 3
The divisors add up to 24339; without 20449 itself that is 3890, so 20449 is deficient (3890 is less than 20449). Euler's totient φ(20449) = 17160 numbers up to 20449 share no factor with it.
- 4
The digits of 20449 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 242 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20449 = 11^{2} \times 13^{2} \]20449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 24339 |
| Euler totient φ(n) | 17160 |
| Square | 418161601 |
| Cube | 8550986578849 |
| Square root | 143 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 242 |
| Scientific notation | 2.0449 × |
| Perfect power |
20449 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and forty-nine |
| Binary (base 2) | 100111111100001 |
| Octal (base 8) | 47741 |
| Hexadecimal (base 16) | 4FE1 |
| Base 3 | 1001001101 |
| As time | 20449 seconds = 5 h 40 min 49 s |
Is 20449 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (20449 ÷ 11 = 1859) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20449 a prime number?
No. 20449 = × , so it is divisible by 11.
What are the factors of 20449?
1, 11, 13, 121, 143, 169, 1573, 1859, 20449.
What is 20449 in binary?
100111111100001 (hexadecimal 4FE1, octal 47741).
What is the square root of 20449?
143, because 143 × 143 = 20449.
Is 20449 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 20449?
20449 is a perfect square (143²).