2⁵ × 3⁴ × 7 × 263

Prime Factor Structure

Factorization String 2^5 × 3^4 × 7 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 16,099,776

Proper Divisor Sum 11,327,904

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4771843 ← → #4771873

Radix Representation

Decimal	4771872
Binary	10010001101000000100000 (23 bits)
Octal	0o22150040
Hexadecimal	0x48D020

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 263 288 324 336 378 432 504 526 567 648 672 756 789 864 1,008 1,052 1,134 1,296 1,512 1,578 1,841 2,016 2,104

Collatz Trajectory (224 steps to reach 1)

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

4,771,872 2,385,936 1,192,968 596,484 298,242 149,121 447,364 223,682 111,841 335,524 167,762 83,881 251,644 125,822 62,911 188,734 94,367 283,102 141,551 424,654 212,327 636,982 318,491 955,474 477,737 1,433,212 716,606 358,303 1,074,910 537,455 1,612,366 806,183 2,418,550 1,209,275 3,627,826 1,813,913 5,441,740 2,720,870 1,360,435 4,081,306 2,040,653 6,121,960 3,060,980 1,530,490 765,245 2,295,736 1,147,868 573,934 286,967 860,902 430,451 1,291,354 645,677 1,937,032 968,516 484,258 242,129 726,388 363,194 181,597

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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