2⁶ × 5³ × 7 × 67

Prime Factor Structure

Factorization String 2^6 × 5^3 × 7 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 10,777,728

Proper Divisor Sum 7,025,728

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3751919 ← → #3752009

Radix Representation

Decimal	3752000
Binary	1110010100000001000000 (22 bits)
Octal	0o16240100
Hexadecimal	0x394040

Divisor Catalog (60 of 112)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 67 70 80 100 112 125 134 140 160 175 200 224 250 268 280 320 335 350 400 448 469 500 536 560 670 700 800 875 938 1,000 1,072 1,120 1,340 1,400 1,600 1,675 1,750 1,876 2,000 2,144 2,240 2,345

Collatz Trajectory (172 steps to reach 1)

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

3,752,000 1,876,000 938,000 469,000 234,500 117,250 58,625 175,876 87,938 43,969 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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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