2⁴ × 3 × 7 × 11² × 13

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 11^2 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,847,104

Proper Divisor Sum 1,318,576

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #528527 ← → #528559

Radix Representation

Decimal	528528
Binary	10000001000010010000 (20 bits)
Octal	0o2010220
Hexadecimal	0x81090

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 121 132 143 154 156 168 176 182 208 231 242 264 273 286 308 312 336 363 364 429 462 484 528 546 572 616 624 726

Collatz Trajectory (102 steps to reach 1)

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

528,528 264,264 132,132 66,066 33,033 99,100 49,550 24,775 74,326 37,163 111,490 55,745 167,236 83,618 41,809 125,428 62,714 31,357 94,072 47,036 23,518 11,759 35,278 17,639 52,918 26,459 79,378 39,689 119,068 59,534 29,767 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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