2⁵ × 3² × 7 × 47 × 61

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 47 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 19,498,752

Proper Divisor Sum 13,718,880

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5779867 ← → #5779901

Radix Representation

Decimal	5779872
Binary	10110000011000110100000 (23 bits)
Octal	0o26030640
Hexadecimal	0x5831A0

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 61 63 72 84 94 96 112 122 126 141 144 168 183 188 224 244 252 282 288 329 336 366 376 423 427 488 504 549 564 658 672 732 752 846 854 976 987 1,008 1,098

Collatz Trajectory (214 steps to reach 1)

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

5,779,872 2,889,936 1,444,968 722,484 361,242 180,621 541,864 270,932 135,466 67,733 203,200 101,600 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113

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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