4782969

4782969 is an integer notable for being the value of 3 raised to the 14th power. It equals 3^14 and can also be expressed as 9^7 and as 2187^2. This makes it a pure power of 3 and a common example of a number that is both a square and a higher power.

In decimal form, the number is written as 4,782,969. In other bases it has simple representations: in base 3 it is 1 followed by 14 zeros, since it is 3^14; in base 9 it is 1 followed by 7 zeros, since 3^14 = (3^2)^7 = 9^7.

Prime factorization is 3^14. Consequently, the number is divisible by 3^k for every k from 1 to 14; in particular it is divisible by 3, 9, 27, and so on. The decimal digit sum is 4 + 7 + 8 + 2 + 9 + 6 + 9 = 45, which is divisible by 9, consistent with its prime-power structure.

Because the exponent of the prime factor is even, 4782969 is a perfect square (equal to 3^7 squared) and, since 14 is also a multiple of 7, it is a perfect seventh power as well. Specifically, 4782969 = (3^7)^2 = (9^7) = (3)^14.

With a magnitude of about 4.78 million, 4782969 serves as a concrete instance of a high pure power of a small prime in mathematical discussions and demonstrations of base representations.