The number 1449
1449 is a composite number with 12 divisors. Its prime factorisation is × 7 × 23. Divisors (12): 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1449 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1449 is composite. Its prime factorisation is
- 3
The divisors add up to 2496; without 1449 itself that is 1047, so 1449 is deficient (1047 is less than 1449). Euler's totient φ(1449) = 792 numbers up to 1449 share no factor with it.
- 4
The digits of 1449 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1449 = 3^{2} \times 7 \times 23 \]1449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2496 |
| Euler totient φ(n) | 792 |
| Square | 2099601 |
| Cube | 3042321849 |
| Square root | 38.065733 (= 3√161) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 1.449 × |
1449 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and forty-nine |
| Roman numerals | MCDXLIX |
| Binary (base 2) | 10110101001 |
| Octal (base 8) | 2651 |
| Hexadecimal (base 16) | 5A9 |
| Base 3 | 1222200 |
| As time | 1449 seconds = 24 min 9 s |
Is 1449 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 (1449 ÷ 3 = 483) | 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 | Yes (1449 ÷ 7 = 207) | 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 (1449 ÷ 9 = 161) | 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 8) | 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 1449 a prime number?
No. 1449 = × 7 × 23, so it is divisible by 3.
What are the factors of 1449?
1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449.
What is 1449 in binary?
10110101001 (hexadecimal 5A9, octal 2651).
What is the square root of 1449?
About 38.0657, exactly 3√161.
What is 1449 in Roman numerals?
MCDXLIX.
Is 1449 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1449?
It is a composite number with 12 divisors.