2⁴ × 3⁴ × 5³ × 41

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5^3 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 200

Divisor Sum (σ) 24,576,552

Proper Divisor Sum 17,934,552

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6641983 ← → #6642007

Radix Representation

Decimal	6642000
Binary	11001010101100101010000 (23 bits)
Octal	0o31254520
Hexadecimal	0x655950

Divisor Catalog (60 of 200)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 41 45 48 50 54 60 72 75 80 81 82 90 100 108 120 123 125 135 144 150 162 164 180 200 205 216 225 240 246 250 270 300 324 328 360 369 375 400 405 410

Collatz Trajectory (178 steps to reach 1)

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

6,642,000 3,321,000 1,660,500 830,250 415,125 1,245,376 622,688 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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