2³ × 3³ × 7 × 13 × 367

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 13 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 24,729,600

Proper Divisor Sum 17,515,848

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7213751 ← → #7213769

Radix Representation

Decimal	7213752
Binary	11011100001001010111000 (23 bits)
Octal	0o33411270
Hexadecimal	0x6E12B8

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 367 378 468 504 546 702 728 734 756 819 936 1,092 1,101 1,404 1,468 1,512 1,638

Collatz Trajectory (129 steps to reach 1)

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

7,213,752 3,606,876 1,803,438 901,719 2,705,158 1,352,579 4,057,738 2,028,869 6,086,608 3,043,304 1,521,652 760,826 380,413 1,141,240 570,620 285,310 142,655 427,966 213,983 641,950 320,975 962,926 481,463 1,444,390 722,195 2,166,586 1,083,293 3,249,880 1,624,940 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106 732,053 2,196,160 1,098,080 549,040 274,520

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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