2⁴ × 3² × 5 × 47 × 1229

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 47 × 1229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 142,758,720

Proper Divisor Sum 101,169,360

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #41589343 ← → #41589371

Radix Representation

Decimal	41589360
Binary	10011110101001101001110000 (26 bits)
Octal	0o236515160
Hexadecimal	0x27A9A70

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1,128 1,229 1,410 1,692 1,880 2,115 2,256 2,458 2,820 3,384 3,687 3,760 4,230 4,916 5,640 6,145

Collatz Trajectory (98 steps to reach 1)

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

41,589,360 20,794,680 10,397,340 5,198,670 2,599,335 7,798,006 3,899,003 11,697,010 5,848,505 17,545,516 8,772,758 4,386,379 13,159,138 6,579,569 19,738,708 9,869,354 4,934,677 14,804,032 7,402,016 3,701,008 1,850,504 925,252 462,626 231,313 693,940 346,970 173,485 520,456 260,228 130,114 65,057 195,172 97,586 48,793 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 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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