The number 10448
10448 is a composite number with 10 divisors. Its prime factorisation is × 653. Divisors (10): 1, 2, 4, 8, 16, 653, 1306, 2612, 5224, 10448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10448 is composite. Its prime factorisation is
- 3
The divisors add up to 20274; without 10448 itself that is 9826, so 10448 is deficient (9826 is less than 10448). Euler's totient φ(10448) = 5216 numbers up to 10448 share no factor with it.
- 4
The digits of 10448 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10448 = 2^{4} \times 653 \]10448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 20274 |
| Euler totient φ(n) | 5216 |
| Square | 109160704 |
| Cube | 1140511035392 |
| Square root | 102.215459 (= 4√653) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.0448 × |
10448 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and forty-eight |
| Binary (base 2) | 10100011010000 |
| Octal (base 8) | 24320 |
| Hexadecimal (base 16) | 28D0 |
| Base 3 | 112022222 |
| As time | 10448 seconds = 2 h 54 min 8 s |
Is 10448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10448 ÷ 2 = 5224) | 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 (10448 ÷ 4 = 2612) | 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 4) | 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 (10448 ÷ 8 = 1306) | 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 9) | 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 10448 a prime number?
No. 10448 = × 653, so it is divisible by 2.
What are the factors of 10448?
1, 2, 4, 8, 16, 653, 1306, 2612, 5224, 10448.
What is 10448 in binary?
10100011010000 (hexadecimal 28D0, octal 24320).
What is the square root of 10448?
About 102.2155, exactly 4√653.
Is 10448 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10448?
10448 is a happy number: repeatedly adding the squares of its digits reaches 1.