2³ × 3 × 7 × 13 × 23

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 161,280

Proper Divisor Sum 111,048

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #50231 ← → #50261

Radix Representation

Decimal	50232
Binary	1100010000111000 (16 bits)
Octal	0o142070
Hexadecimal	0xC438

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 546 552 598 644 728 897 966 1,092 1,196 1,288 1,794 1,932 2,093 2,184 2,392 3,588 3,864 4,186 6,279 7,176 8,372

Collatz Trajectory (109 steps to reach 1)

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

50,232 25,116 12,558 6,279 18,838 9,419 28,258 14,129 42,388 21,194 10,597 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924

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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