The number 2248
2248 is a composite number with 8 divisors. Its prime factorisation is × 281. Divisors (8): 1, 2, 4, 8, 281, 562, 1124, 2248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2248 is composite. Its prime factorisation is
- 3
The divisors add up to 4230; without 2248 itself that is 1982, so 2248 is deficient (1982 is less than 2248). Euler's totient φ(2248) = 1120 numbers up to 2248 share no factor with it.
- 4
The digits of 2248 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2248 = 2^{3} \times 281 \]2248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4230 |
| Euler totient φ(n) | 1120 |
| Square | 5053504 |
| Cube | 11360276992 |
| Square root | 47.413078 (= 2√562) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.248 × |
2248 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and forty-eight |
| Roman numerals | MMCCXLVIII |
| Binary (base 2) | 100011001000 |
| Octal (base 8) | 4310 |
| Hexadecimal (base 16) | 8C8 |
| Base 3 | 10002021 |
| As time | 2248 seconds = 37 min 28 s |
Is 2248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2248 ÷ 2 = 1124) | 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 | Yes (2248 ÷ 4 = 562) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (2248 ÷ 8 = 281) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2248 a prime number?
No. 2248 = × 281, so it is divisible by 2.
What are the factors of 2248?
1, 2, 4, 8, 281, 562, 1124, 2248.
What is 2248 in binary?
100011001000 (hexadecimal 8C8, octal 4310).
What is the square root of 2248?
About 47.4131, exactly 2√562.
What is 2248 in Roman numerals?
MMCCXLVIII.
Is 2248 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2248?
It is a composite number with 8 divisors.