2⁵ × 3² × 7 × 13 × 17 × 23

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 13 × 17 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 288

Divisor Sum (σ) 39,626,496

Proper Divisor Sum 29,379,168

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10247317 ← → #10247333

Radix Representation

Decimal	10247328
Binary	100111000101110010100000 (24 bits)
Octal	0o47056240
Hexadecimal	0x9C5CA0

Divisor Catalog (60 of 288)

1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 23 24 26 28 32 34 36 39 42 46 48 51 52 56 63 68 69 72 78 84 91 92 96 102 104 112 117 119 126 136 138 144 153 156 161 168 182 184 204 207 208 221 224 234 238

Collatz Trajectory (127 steps to reach 1)

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

10,247,328 5,123,664 2,561,832 1,280,916 640,458 320,229 960,688 480,344 240,172 120,086 60,043 180,130 90,065 270,196 135,098 67,549 202,648 101,324 50,662 25,331 75,994 37,997 113,992 56,996 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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