3,321,708

2² × 3 × 13 × 107 × 199

3,321,708 has the prime decomposition 2^2 × 3 × 13 × 107 × 199. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 107 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,467,200

Proper Divisor Sum 5,145,492

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3321679 ← → #3321709

Radix Representation

Decimal	3321708
Binary	1100101010111101101100 (22 bits)
Octal	0o14527554
Hexadecimal	0x32AF6C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 107 156 199 214 321 398 428 597 642 796 1,194 1,284 1,391 2,388 2,587 2,782 4,173 5,174 5,564 7,761 8,346 10,348 15,522 16,692 21,293 31,044 42,586 63,879 85,172 127,758 255,516 276,809 553,618 830,427 1,107,236 1,660,854 3,321,708

Collatz Trajectory (138 steps to reach 1)

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

3,321,708 1,660,854 830,427 2,491,282 1,245,641 3,736,924 1,868,462 934,231 2,802,694 1,401,347 4,204,042 2,102,021 6,306,064 3,153,032 1,576,516 788,258 394,129 1,182,388 591,194 295,597 886,792 443,396 221,698 110,849 332,548 166,274 83,137 249,412 124,706 62,353 187,060 93,530 46,765 140,296 70,148 35,074 17,537 52,612 26,306 13,153 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073

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