2⁵ × 5 × 7 × 13 × 29

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 847,840

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #422239 ← → #422243

Radix Representation

Decimal	422240
Binary	1100111000101100000 (19 bits)
Octal	0o1470540
Hexadecimal	0x67160

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 160 182 203 208 224 232 260 280 290 364 377 406 416 455 464 520 560 580 728 754 812 910 928 1,015 1,040 1,120 1,160 1,456 1,508 1,624

Collatz Trajectory (249 steps to reach 1)

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

422,240 211,120 105,560 52,780 26,390 13,195 39,586 19,793 59,380 29,690 14,845 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442

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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