2⁵ × 3 × 5 × 7 × 23 × 53

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 23 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 15,676,416

Proper Divisor Sum 11,580,576

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4095829 ← → #4095857

Radix Representation

Decimal	4095840
Binary	1111100111111101100000 (22 bits)
Octal	0o17477540
Hexadecimal	0x3E7F60

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 53 56 60 69 70 80 84 92 96 105 106 112 115 120 138 140 159 160 161 168 184 210 212 224 230 240 265 276 280 318 322 336 345 368 371

Collatz Trajectory (198 steps to reach 1)

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

4,095,840 2,047,920 1,023,960 511,980 255,990 127,995 383,986 191,993 575,980 287,990 143,995 431,986 215,993 647,980 323,990 161,995 485,986 242,993 728,980 364,490 182,245 546,736 273,368 136,684 68,342 34,171 102,514 51,257 153,772 76,886 38,443 115,330 57,665 172,996 86,498 43,249 129,748 64,874 32,437 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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