2⁴ × 3² × 7² × 193

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7^2 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 4,456,374

Proper Divisor Sum 3,094,566

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1361803 ← → #1361809

Radix Representation

Decimal	1361808
Binary	101001100011110010000 (21 bits)
Octal	0o5143620
Hexadecimal	0x14C790

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 193 196 252 294 336 386 392 441 504 579 588 772 784 882 1,008 1,158 1,176 1,351 1,544 1,737 1,764 2,316 2,352 2,702 3,088 3,474 3,528 4,053 4,632 5,404 6,948

Collatz Trajectory (106 steps to reach 1)

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

1,361,808 680,904 340,452 170,226 85,113 255,340 127,670 63,835 191,506 95,753 287,260 143,630 71,815 215,446 107,723 323,170 161,585 484,756 242,378 121,189 363,568 181,784 90,892 45,446 22,723 68,170 34,085 102,256 51,128 25,564 12,782 6,391 19,174 9,587 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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