2⁶ × 3² × 5 × 139

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,386,840

Proper Divisor Sum 986,520

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #400313 ← → #400321

Radix Representation

Decimal	400320
Binary	1100001101111000000 (19 bits)
Octal	0o1415700
Hexadecimal	0x61BC0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 139 144 160 180 192 240 278 288 320 360 417 480 556 576 695 720 834 960 1,112 1,251 1,390 1,440 1,668 2,085 2,224 2,502 2,780 2,880 3,336 4,170 4,448 5,004

Collatz Trajectory (117 steps to reach 1)

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

400,320 200,160 100,080 50,040 25,020 12,510 6,255 18,766 9,383 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425

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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