2⁷ × 3² × 5 × 23 × 397

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 23 × 397

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 189,989,280

Proper Divisor Sum 137,394,720

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #52594559 ← → #52594561

Radix Representation

Decimal	52594560
Binary	11001000101000011110000000 (26 bits)
Octal	0o310503600
Hexadecimal	0x3228780

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 90 92 96 115 120 128 138 144 160 180 184 192 207 230 240 276 288 320 345 360 368 384 397 414 460 480 552 576 640 690 720 736

Collatz Trajectory (119 steps to reach 1)

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

52,594,560 26,297,280 13,148,640 6,574,320 3,287,160 1,643,580 821,790 410,895 1,232,686 616,343 1,849,030 924,515 2,773,546 1,386,773 4,160,320 2,080,160 1,040,080 520,040 260,020 130,010 65,005 195,016 97,508 48,754 24,377 73,132 36,566 18,283 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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