The number 2548
2548 is a composite number with 18 divisors. Its prime factorisation is × × 13. Divisors (18): 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637 … 2548.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2548: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2548 is composite. Its prime factorisation is
- 3
The divisors add up to 5586; without 2548 itself that is 3038, so 2548 is abundant (3038 is more than 2548). Euler's totient φ(2548) = 1008 numbers up to 2548 share no factor with it.
- 4
The digits of 2548 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2548 = 2^{2} \times 7^{2} \times 13 \]2548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 5586 |
| Euler totient φ(n) | 1008 |
| Square | 6492304 |
| Cube | 16542390592 |
| Square root | 50.477718 (= 14√13) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.548 × |
2548 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and forty-eight |
| Roman numerals | MMDXLVIII |
| Binary (base 2) | 100111110100 |
| Octal (base 8) | 4764 |
| Hexadecimal (base 16) | 9F4 |
| Base 3 | 10111101 |
| As time | 2548 seconds = 42 min 28 s |
Is 2548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2548 ÷ 2 = 1274) | 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 (2548 ÷ 4 = 637) | 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 | Yes (2548 ÷ 7 = 364) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2548 a prime number?
No. 2548 = × × 13, so it is divisible by 2.
What are the factors of 2548?
1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548.
What is 2548 in binary?
100111110100 (hexadecimal 9F4, octal 4764).
What is the square root of 2548?
About 50.4777, exactly 14√13.
What is 2548 in Roman numerals?
MMDXLVIII.
Is 2548 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2548?
2548 is a happy number: repeatedly adding the squares of its digits reaches 1.