2⁴ × 3² × 5² × 11 × 1823

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 11 × 1823

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 273,446,784

Proper Divisor Sum 201,255,984

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #72190799 ← → #72190801

Radix Representation

Decimal	72190800
Binary	100010011011000101101010000 (27 bits)
Octal	0o423305520
Hexadecimal	0x44D8B50

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 132 144 150 165 176 180 198 200 220 225 240 264 275 300 330 360 396 400 440 450 495 528

Collatz Trajectory (140 steps to reach 1)

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

72,190,800 36,095,400 18,047,700 9,023,850 4,511,925 13,535,776 6,767,888 3,383,944 1,691,972 845,986 422,993 1,268,980 634,490 317,245 951,736 475,868 237,934 118,967 356,902 178,451 535,354 267,677 803,032 401,516 200,758 100,379 301,138 150,569 451,708 225,854 112,927 338,782 169,391 508,174 254,087 762,262 381,131 1,143,394 571,697 1,715,092 857,546 428,773 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780 180,890 90,445 271,336 135,668 67,834 33,917 101,752 50,876 25,438 12,719

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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