2² × 3² × 5 × 7 × 83

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 366,912

Proper Divisor Sum 262,332

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #104579 ← → #104593

Radix Representation

Decimal	104580
Binary	11001100010000100 (17 bits)
Octal	0o314204
Hexadecimal	0x19884

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 415 420 498 581 630 747 830 996 1,162 1,245 1,260 1,494 1,660 1,743 2,324 2,490 2,905 2,988 3,486 3,735 4,980 5,229 5,810

Collatz Trajectory (172 steps to reach 1)

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

104,580 52,290 26,145 78,436 39,218 19,609 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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