The number 548
548 is a composite number with 6 divisors. Its prime factorisation is × 137. Divisors (6): 1, 2, 4, 137, 274, 548.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
548 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
548 is composite. Its prime factorisation is
- 3
The divisors add up to 966; without 548 itself that is 418, so 548 is deficient (418 is less than 548). Euler's totient φ(548) = 272 numbers up to 548 share no factor with it.
- 4
The digits of 548 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 548 = 2^{2} \times 137 \]548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 966 |
| Euler totient φ(n) | 272 |
| Square | 300304 |
| Cube | 164566592 |
| Square root | 23.409400 (= 2√137) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 5.48 × |
548 in other forms
| Form | Value |
|---|---|
| In words | five hundred and forty-eight |
| Roman numerals | DXLVIII |
| Binary (base 2) | 1000100100 |
| Octal (base 8) | 1044 |
| Hexadecimal (base 16) | 224 |
| Base 3 | 202022 |
| As time | 548 seconds = 9 min 8 s |
Is 548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (548 ÷ 2 = 274) | 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 (548 ÷ 4 = 137) | 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 2) | 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 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 548 a prime number?
No. 548 = × 137, so it is divisible by 2.
What are the factors of 548?
1, 2, 4, 137, 274, 548.
What is 548 in binary?
1000100100 (hexadecimal 224, octal 1044).
What is the square root of 548?
About 23.4094, exactly 2√137.
What is 548 in Roman numerals?
DXLVIII.
Is 548 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 548?
It is a composite number with 6 divisors.