2³ × 3² × 5² × 31

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 193,440

Proper Divisor Sum 137,640

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #55799 ← → #55807

Radix Representation

Decimal	55800
Binary	1101100111111000 (16 bits)
Octal	0o154770
Hexadecimal	0xD9F8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1,116 1,240 1,395 1,550 1,800 1,860 2,232 2,325 2,790

Collatz Trajectory (135 steps to reach 1)

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

55,800 27,900 13,950 6,975 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126

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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