The number 1448
1448 is a composite number with 8 divisors. Its prime factorisation is × 181. Divisors (8): 1, 2, 4, 8, 181, 362, 724, 1448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1448 is composite. Its prime factorisation is
- 3
The divisors add up to 2730; without 1448 itself that is 1282, so 1448 is deficient (1282 is less than 1448). Euler's totient φ(1448) = 720 numbers up to 1448 share no factor with it.
- 4
The digits of 1448 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1448 = 2^{3} \times 181 \]1448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2730 |
| Euler totient φ(n) | 720 |
| Square | 2096704 |
| Cube | 3036027392 |
| Square root | 38.052595 (= 2√362) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.448 × |
1448 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and forty-eight |
| Roman numerals | MCDXLVIII |
| Binary (base 2) | 10110101000 |
| Octal (base 8) | 2650 |
| Hexadecimal (base 16) | 5A8 |
| Base 3 | 1222122 |
| As time | 1448 seconds = 24 min 8 s |
Is 1448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1448 ÷ 2 = 724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1448 ÷ 4 = 362) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (1448 ÷ 8 = 181) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1448 a prime number?
No. 1448 = × 181, so it is divisible by 2.
What are the factors of 1448?
1, 2, 4, 8, 181, 362, 724, 1448.
What is 1448 in binary?
10110101000 (hexadecimal 5A8, octal 2650).
What is the square root of 1448?
About 38.0526, exactly 2√362.
What is 1448 in Roman numerals?
MCDXLVIII.
Is 1448 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1448?
1448 is a happy number: repeatedly adding the squares of its digits reaches 1.