2⁵ × 3⁴ × 5 × 31

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,463,616

Proper Divisor Sum 1,061,856

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #401743 ← → #401771

Radix Representation

Decimal	401760
Binary	1100010000101100000 (19 bits)
Octal	0o1420540
Hexadecimal	0x62160

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 72 80 81 90 93 96 108 120 124 135 144 155 160 162 180 186 216 240 248 270 279 288 310 324 360 372 405 432 465 480 496 540 558 620

Collatz Trajectory (112 steps to reach 1)

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

401,760 200,880 100,440 50,220 25,110 12,555 37,666 18,833 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 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 #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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