2² × 3² × 5² × 13 × 353

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 13 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 13,980,876

Proper Divisor Sum 9,850,776

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #4130039 ← → #4130111

Radix Representation

Decimal	4130100
Binary	1111110000010100110100 (22 bits)
Octal	0o17602464
Hexadecimal	0x3F0534

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 353 390 450 468 585 650 706 780 900 975 1,059 1,170 1,300 1,412 1,765 1,950 2,118 2,340 2,925 3,177 3,530 3,900

Collatz Trajectory (92 steps to reach 1)

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

4,130,100 2,065,050 1,032,525 3,097,576 1,548,788 774,394 387,197 1,161,592 580,796 290,398 145,199 435,598 217,799 653,398 326,699 980,098 490,049 1,470,148 735,074 367,537 1,102,612 551,306 275,653 826,960 413,480 206,740 103,370 51,685 155,056 77,528 38,764 19,382 9,691 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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