2³ × 3² × 7 × 13 × 491

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 491

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 10,745,280

Proper Divisor Sum 7,528,248

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3217021 ← → #3217043

Radix Representation

Decimal	3217032
Binary	1100010001011010001000 (22 bits)
Octal	0o14213210
Hexadecimal	0x311688

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 491 504 546 728 819 936 982 1,092 1,473 1,638 1,964 2,184 2,946 3,276 3,437 3,928 4,419 5,892 6,383 6,552 6,874 8,838

Collatz Trajectory (120 steps to reach 1)

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

3,217,032 1,608,516 804,258 402,129 1,206,388 603,194 301,597 904,792 452,396 226,198 113,099 339,298 169,649 508,948 254,474 127,237 381,712 190,856 95,428 47,714 23,857 71,572 35,786 17,893 53,680 26,840 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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