2⁵ × 5² × 7 × 11 × 61

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 11 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 11,624,256

Proper Divisor Sum 7,866,656

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3757583 ← → #3757601

Radix Representation

Decimal	3757600
Binary	1110010101011000100000 (22 bits)
Octal	0o16253040
Hexadecimal	0x395620

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 61 70 77 80 88 100 110 112 122 140 154 160 175 176 200 220 224 244 275 280 305 308 350 352 385 400 427 440 488 550 560 610 616 671 700 770 800 854 880

Collatz Trajectory (110 steps to reach 1)

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

3,757,600 1,878,800 939,400 469,700 234,850 117,425 352,276 176,138 88,069 264,208 132,104 66,052 33,026 16,513 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854

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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