2² × 3 × 5 × 11 × 13 × 83

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 13 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,370,816

Proper Divisor Sum 1,658,676

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #712133 ← → #712157

Radix Representation

Decimal	712140
Binary	10101101110111001100 (20 bits)
Octal	0o2556714
Hexadecimal	0xADDCC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 83 110 130 132 143 156 165 166 195 220 249 260 286 330 332 390 415 429 498 572 660 715 780 830 858 913 996 1,079 1,245 1,430 1,660 1,716 1,826 2,145 2,158 2,490

Collatz Trajectory (74 steps to reach 1)

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

712,140 356,070 178,035 534,106 267,053 801,160 400,580 200,290 100,145 300,436 150,218 75,109 225,328 112,664 56,332 28,166 14,083 42,250 21,125 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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