3,330,366

2 × 3 × 13 × 42697

3,330,366 factors as 2 × 3 × 13 × 42697. Its 16 positive divisors give a proper-divisor sum of 3,842,898, so this integer is abundant. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 42697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,173,264

Proper Divisor Sum 3,842,898

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3330323 ← → #3330391

Radix Representation

Decimal	3330366
Binary	1100101101000100111110 (22 bits)
Octal	0o14550476
Hexadecimal	0x32D13E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 42,697 85,394 128,091 256,182 555,061 1,110,122 1,665,183 3,330,366

Collatz Trajectory (301 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,330,366 1,665,183 4,995,550 2,497,775 7,493,326 3,746,663 11,239,990 5,619,995 16,859,986 8,429,993 25,289,980 12,644,990 6,322,495 18,967,486 9,483,743 28,451,230 14,225,615 42,676,846 21,338,423 64,015,270 32,007,635 96,022,906 48,011,453 144,034,360 72,017,180 36,008,590 18,004,295 54,012,886 27,006,443 81,019,330 40,509,665 121,528,996 60,764,498 30,382,249 91,146,748 45,573,374 22,786,687 68,360,062 34,180,031 102,540,094 51,270,047 153,810,142 76,905,071 230,715,214 115,357,607 346,072,822 173,036,411 519,109,234 259,554,617 778,663,852 389,331,926 194,665,963 583,997,890 291,998,945 875,996,836 437,998,418 218,999,209 656,997,628 328,498,814 164,249,407

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