The number 544
544 is a composite number with 12 divisors. Its prime factorisation is × 17. Divisors (12): 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
544 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
544 is composite. Its prime factorisation is
- 3
The divisors add up to 1134; without 544 itself that is 590, so 544 is abundant (590 is more than 544). Euler's totient φ(544) = 256 numbers up to 544 share no factor with it.
- 4
The digits of 544 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 544 = 2^{5} \times 17 \]544 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1134 |
| Euler totient φ(n) | 256 |
| Square | 295936 |
| Cube | 160989184 |
| Square root | 23.323808 (= 4√34) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 17 |
| Scientific notation | 5.44 × |
544 in other forms
| Form | Value |
|---|---|
| In words | five hundred and forty-four |
| Roman numerals | DXLIV |
| Binary (base 2) | 1000100000 |
| Octal (base 8) | 1040 |
| Hexadecimal (base 16) | 220 |
| Base 3 | 202011 |
| As time | 544 seconds = 9 min 4 s |
Is 544 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (544 ÷ 2 = 272) | 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 (544 ÷ 4 = 136) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 (544 ÷ 8 = 68) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 544 a prime number?
No. 544 = × 17, so it is divisible by 2.
What are the factors of 544?
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
What is 544 in binary?
1000100000 (hexadecimal 220, octal 1040).
What is the square root of 544?
About 23.3238, exactly 4√34.
What is 544 in Roman numerals?
DXLIV.
Is 544 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 544?
It is a composite number with 12 divisors.