The number 546
546 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 13. Divisors (16): 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
546 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
546 is composite. Its prime factorisation is
- 3
The divisors add up to 1344; without 546 itself that is 798, so 546 is abundant (798 is more than 546). Euler's totient φ(546) = 144 numbers up to 546 share no factor with it.
- 4
The digits of 546 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 546 = 2 \times 3 \times 7 \times 13 \]
546 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1344 |
| Euler totient φ(n) | 144 |
| Square | 298116 |
| Cube | 162771336 |
| Square root | 23.366643 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.46 × |
546 in other forms
| Form | Value |
|---|---|
| In words | five hundred and forty-six |
| Roman numerals | DXLVI |
| Binary (base 2) | 1000100010 |
| Octal (base 8) | 1042 |
| Hexadecimal (base 16) | 222 |
| Base 3 | 202020 |
| As time | 546 seconds = 9 min 6 s |
Is 546 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (546 ÷ 2 = 273) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (546 ÷ 3 = 182) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (546 ÷ 6 = 91) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (546 ÷ 7 = 78) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 546 a prime number?
No. 546 = 2 × 3 × 7 × 13, so it is divisible by 2.
What are the factors of 546?
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546.
What is 546 in binary?
1000100010 (hexadecimal 222, octal 1042).
What is the square root of 546?
About 23.3666.
What is 546 in Roman numerals?
DXLVI.
Is 546 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 546?
It is a composite number with 16 divisors.