2⁵ × 7 × 11 × 13 × 17 × 103

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 13 × 17 × 103

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 158,505,984

Proper Divisor Sum 102,417,952

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #56088031 ← → #56088047

Radix Representation

Decimal	56088032
Binary	11010101111101010111100000 (26 bits)
Octal	0o325752740
Hexadecimal	0x357D5E0

Divisor Catalog (60 of 192)

1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 68 77 88 91 103 104 112 119 136 143 154 176 182 187 206 208 221 224 238 272 286 308 352 364 374 412 416 442 476 544 572 616 721 728 748 824 884 952 1,001 1,133 1,144 1,232

Collatz Trajectory (150 steps to reach 1)

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

56,088,032 28,044,016 14,022,008 7,011,004 3,505,502 1,752,751 5,258,254 2,629,127 7,887,382 3,943,691 11,831,074 5,915,537 17,746,612 8,873,306 4,436,653 13,309,960 6,654,980 3,327,490 1,663,745 4,991,236 2,495,618 1,247,809 3,743,428 1,871,714 935,857 2,807,572 1,403,786 701,893 2,105,680 1,052,840 526,420 263,210 131,605 394,816 197,408 98,704 49,352 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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