2⁴ × 3³ × 5 × 7 × 29

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 1,785,600

Proper Divisor Sum 1,347,120

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #438479 ← → #438499

Radix Representation

Decimal	438480
Binary	1101011000011010000 (19 bits)
Octal	0o1530320
Hexadecimal	0x6B0D0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 35 36 40 42 45 48 54 56 58 60 63 70 72 80 84 87 90 105 108 112 116 120 126 135 140 144 145 168 174 180 189 203 210 216 232 240 252 261

Collatz Trajectory (63 steps to reach 1)

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

438,480 219,240 109,620 54,810 27,405 82,216 41,108 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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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