λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,100
44,100
22 × 32 × 52 × 72
Abundant Even Composite Square (√ = 210)

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7^2
Distinct Prime Factors 4
Square Status Yes (√44100 = 210)
Abundance Measure Abundant

Analytical Properties

Total Divisors 81
Divisor Sum (σ) 160,797
Proper Divisor Sum 116,697
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #44089 ← → #44101

Radix Representation

Decimal 44100
Binary 1010110001000100 (16 bits)
Octal 0o126104
Hexadecimal 0xAC44

Divisor Catalog (60 of 81)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 49 50 60 63 70 75 84 90 98 100 105 126 140 147 150 175 180 196 210 225 245 252 294 300 315 350 420 441 450 490 525 588 630 700 735 882 900 980

Collatz Trajectory (163 steps to reach 1)

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

44,100 22,050 11,025 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 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 2,000 1,000 500 250 125 376 188 94 47

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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