2⁵ × 3² × 7 × 83

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 550,368

Proper Divisor Sum 383,040

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #167317 ← → #167329

Radix Representation

Decimal	167328
Binary	101000110110100000 (18 bits)
Octal	0o506640
Hexadecimal	0x28DA0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1,008 1,162 1,328 1,494 1,743 1,992 2,016 2,324 2,656 2,988 3,486 3,984 4,648 5,229 5,976 6,972 7,968

Collatz Trajectory (183 steps to reach 1)

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

167,328 83,664 41,832 20,916 10,458 5,229 15,688 7,844 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376

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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