2⁵ × 5² × 7 × 13² × 41

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 13^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 120,086,064

Proper Divisor Sum 81,283,664

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #38802371 ← → #38802409

Radix Representation

Decimal	38802400
Binary	10010100000001001111100000 (26 bits)
Octal	0o224011740
Hexadecimal	0x25013E0

Divisor Catalog (60 of 216)

1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 41 50 52 56 65 70 80 82 91 100 104 112 130 140 160 164 169 175 182 200 205 208 224 260 280 287 325 328 338 350 364 400 410 416 455 520 533 560 574 650 656 676 700

Collatz Trajectory (178 steps to reach 1)

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

38,802,400 19,401,200 9,700,600 4,850,300 2,425,150 1,212,575 3,637,726 1,818,863 5,456,590 2,728,295 8,184,886 4,092,443 12,277,330 6,138,665 18,415,996 9,207,998 4,603,999 13,811,998 6,905,999 20,717,998 10,358,999 31,076,998 15,538,499 46,615,498 23,307,749 69,923,248 34,961,624 17,480,812 8,740,406 4,370,203 13,110,610 6,555,305 19,665,916 9,832,958 4,916,479 14,749,438 7,374,719 22,124,158 11,062,079 33,186,238 16,593,119 49,779,358 24,889,679 74,669,038 37,334,519 112,003,558 56,001,779 168,005,338 84,002,669 252,008,008 126,004,004 63,002,002 31,501,001 94,503,004 47,251,502 23,625,751 70,877,254 35,438,627 106,315,882 53,157,941

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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