2² × 3² × 5³ × 29 × 47

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 29 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 20,442,240

Proper Divisor Sum 14,308,740

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6133499 ← → #6133537

Radix Representation

Decimal	6133500
Binary	10111011001011011111100 (23 bits)
Octal	0o27313374
Hexadecimal	0x5D96FC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 47 50 58 60 75 87 90 94 100 116 125 141 145 150 174 180 188 225 235 250 261 282 290 300 348 375 423 435 450 470 500 522 564 580 705 725 750 846 870 900 940 1,044 1,125

Collatz Trajectory (227 steps to reach 1)

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

6,133,500 3,066,750 1,533,375 4,600,126 2,300,063 6,900,190 3,450,095 10,350,286 5,175,143 15,525,430 7,762,715 23,288,146 11,644,073 34,932,220 17,466,110 8,733,055 26,199,166 13,099,583 39,298,750 19,649,375 58,948,126 29,474,063 88,422,190 44,211,095 132,633,286 66,316,643 198,949,930 99,474,965 298,424,896 149,212,448 74,606,224 37,303,112 18,651,556 9,325,778 4,662,889 13,988,668 6,994,334 3,497,167 10,491,502 5,245,751 15,737,254 7,868,627 23,605,882 11,802,941 35,408,824 17,704,412 8,852,206 4,426,103 13,278,310 6,639,155 19,917,466 9,958,733 29,876,200 14,938,100 7,469,050 3,734,525 11,203,576 5,601,788 2,800,894 1,400,447

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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