2³ × 3 × 5 × 7 × 13 × 37

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 13 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 1,532,160

Proper Divisor Sum 1,128,120

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #404029 ← → #404051

Radix Representation

Decimal	404040
Binary	1100010101001001000 (19 bits)
Octal	0o1425110
Hexadecimal	0x62A48

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 37 39 40 42 52 56 60 65 70 74 78 84 91 104 105 111 120 130 140 148 156 168 182 185 195 210 222 259 260 273 280 296 312 364 370 390 420 444 455 481

Collatz Trajectory (99 steps to reach 1)

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

404,040 202,020 101,010 50,505 151,516 75,758 37,879 113,638 56,819 170,458 85,229 255,688 127,844 63,922 31,961 95,884 47,942 23,971 71,914 35,957 107,872 53,936 26,968 13,484 6,742 3,371 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431

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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