2² × 3² × 5 × 7 × 11 × 29

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 11 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,572,480

Proper Divisor Sum 1,170,540

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #401939 ← → #401953

Radix Representation

Decimal	401940
Binary	1100010001000010100 (19 bits)
Octal	0o1421024
Hexadecimal	0x62214

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 29 30 33 35 36 42 44 45 55 58 60 63 66 70 77 84 87 90 99 105 110 116 126 132 140 145 154 165 174 180 198 203 210 220 231 252 261 290 308 315 319 330

Collatz Trajectory (112 steps to reach 1)

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

401,940 200,970 100,485 301,456 150,728 75,364 37,682 18,841 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 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

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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