2² × 3⁴ × 5 × 13 × 19

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 13 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,422,960

Proper Divisor Sum 1,022,820

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #400123 ← → #400151

Radix Representation

Decimal	400140
Binary	1100001101100001100 (19 bits)
Octal	0o1415414
Hexadecimal	0x61B0C

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 27 30 36 38 39 45 52 54 57 60 65 76 78 81 90 95 108 114 117 130 135 156 162 171 180 190 195 228 234 247 260 270 285 324 342 351 380 390 405 468 494 513 540 570 585

Collatz Trajectory (91 steps to reach 1)

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

400,140 200,070 100,035 300,106 150,053 450,160 225,080 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542

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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