2⁵ × 3⁴ × 13 × 109

Prime Factor Structure

Factorization String 2^5 × 3^4 × 13 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,739,420

Proper Divisor Sum 8,066,556

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3672857 ← → #3672881

Radix Representation

Decimal	3672864
Binary	1110000000101100100000 (22 bits)
Octal	0o16005440
Hexadecimal	0x380B20

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 109 117 144 156 162 208 216 218 234 288 312 324 327 351 416 432 436 468 624 648 654 702 864 872 936 981 1,053 1,248 1,296 1,308 1,404 1,417 1,744 1,872

Collatz Trajectory (203 steps to reach 1)

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

3,672,864 1,836,432 918,216 459,108 229,554 114,777 344,332 172,166 86,083 258,250 129,125 387,376 193,688 96,844 48,422 24,211 72,634 36,317 108,952 54,476 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327

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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