λ
Ratio Atlas
Atlas › Integer Profiles › Node 641,088
641,088
26 × 33 × 7 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 7 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 2,194,560
Proper Divisor Sum 1,553,472
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #641083 ← → #641089

Radix Representation

Decimal 641088
Binary 10011100100001000000 (20 bits)
Octal 0o2344100
Hexadecimal 0x9C840

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 53 54 56 63 64 72 84 96 106 108 112 126 144 159 168 189 192 212 216 224 252 288 318 336 371 378 424 432 448 477 504 576 636 672 742 756 848 864 954 1,008

Collatz Trajectory (97 steps to reach 1)

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

641,088 320,544 160,272 80,136 40,068 20,034 10,017 30,052 15,026 7,513 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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