546

546 is a natural number that comes after 545 and before 547. It is even and composite, with prime factorization 2 × 3 × 7 × 13. Its positive divisors are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, and 546, for a total of 16 divisors. The sum of all its divisors is 1344, which makes 546 an abundant number since the sum of its proper divisors (1344 − 546 = 798) exceeds the number itself.

In various numeral systems, 546 has the following representations: binary 1000100010, hexadecimal 0x222, ternary 202020_3, and base-4 20202_4. In Roman numerals it is written as DXLVI. The decimal digits sum to 15.

In science and measurement, 546.1 nanometres is a prominent emission line of mercury used in calibration of spectrometers and some lighting applications. Mercury discharge lamps and other calibrated light sources often exploit this line for wavelength reference.

As a arithmetic property, 546 is divisible by 2, 3, 6, 7, 13, and 91, among other combinations implied by its factorization. Its factor structure (2 × 3 × 7 × 13) means it is not a prime power and has a relatively rich set of divisors for a number of its size.