2⁵ × 3 × 7 × 13 × 19 × 23

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13 × 19 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 13,547,520

Proper Divisor Sum 9,729,888

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3817621 ← → #3817657

Radix Representation

Decimal	3817632
Binary	1110100100000010100000 (22 bits)
Octal	0o16440240
Hexadecimal	0x3A40A0

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 12 13 14 16 19 21 23 24 26 28 32 38 39 42 46 48 52 56 57 69 76 78 84 91 92 96 104 112 114 133 138 152 156 161 168 182 184 208 224 228 247 266 273 276 299 304 312 322 336 364 368 399 416

Collatz Trajectory (278 steps to reach 1)

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

3,817,632 1,908,816 954,408 477,204 238,602 119,301 357,904 178,952 89,476 44,738 22,369 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318

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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