2³ × 3⁴ × 7 × 103

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,510,080

Proper Divisor Sum 1,042,872

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #467197 ← → #467209

Radix Representation

Decimal	467208
Binary	1110010000100001000 (19 bits)
Octal	0o1620410
Hexadecimal	0x72108

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 103 108 126 162 168 189 206 216 252 309 324 378 412 504 567 618 648 721 756 824 927 1,134 1,236 1,442 1,512 1,854 2,163 2,268 2,472 2,781 2,884 3,708 4,326 4,536 5,562 5,768 6,489

Collatz Trajectory (107 steps to reach 1)

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

467,208 233,604 116,802 58,401 175,204 87,602 43,801 131,404 65,702 32,851 98,554 49,277 147,832 73,916 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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