2⁶ × 3³ × 5 × 7²

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 1,737,360

Proper Divisor Sum 1,314,000

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #423347 ← → #423389

Radix Representation

Decimal	423360
Binary	1100111010111000000 (19 bits)
Octal	0o1472700
Hexadecimal	0x675C0

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 84 90 96 98 105 108 112 120 126 135 140 144 147 160 168 180 189 192 196 210 216 224 240

Collatz Trajectory (81 steps to reach 1)

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

423,360 211,680 105,840 52,920 26,460 13,230 6,615 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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