2³ × 3² × 5 × 7 × 1459

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 1459

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,665,600

Proper Divisor Sum 9,988,920

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3676667 ← → #3676721

Radix Representation

Decimal	3676680
Binary	1110000001101000001000 (22 bits)
Octal	0o16015010
Hexadecimal	0x381A08

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1,260 1,459 2,520 2,918 4,377 5,836 7,295 8,754 10,213 11,672 13,131 14,590 17,508 20,426

Collatz Trajectory (159 steps to reach 1)

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

3,676,680 1,838,340 919,170 459,585 1,378,756 689,378 344,689 1,034,068 517,034 258,517 775,552 387,776 193,888 96,944 48,472 24,236 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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