The number 10449
10449 is a composite number with 12 divisors. Its prime factorisation is × 43. Divisors (12): 1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10449 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10449 is composite. Its prime factorisation is
- 3
The divisors add up to 16016; without 10449 itself that is 5567, so 10449 is deficient (5567 is less than 10449). Euler's totient φ(10449) = 6804 numbers up to 10449 share no factor with it.
- 4
The digits of 10449 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10449 = 3^{5} \times 43 \]10449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16016 |
| Euler totient φ(n) | 6804 |
| Square | 109181601 |
| Cube | 1140838548849 |
| Square root | 102.220350 (= 9√129) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0449 × |
10449 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and forty-nine |
| Binary (base 2) | 10100011010001 |
| Octal (base 8) | 24321 |
| Hexadecimal (base 16) | 28D1 |
| Base 3 | 112100000 |
| As time | 10449 seconds = 2 h 54 min 9 s |
Is 10449 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 | Yes (10449 ÷ 3 = 3483) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (10449 ÷ 9 = 1161) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10449 a prime number?
No. 10449 = × 43, so it is divisible by 3.
What are the factors of 10449?
1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449.
What is 10449 in binary?
10100011010001 (hexadecimal 28D1, octal 24321).
What is the square root of 10449?
About 102.2204, exactly 9√129.
Is 10449 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10449?
It is a composite number with 12 divisors.