λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,100
80,100
22 × 32 × 52 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 253,890
Proper Divisor Sum 173,790
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #80077 ← → #80107

Radix Representation

Decimal 80100
Binary 10011100011100100 (17 bits)
Octal 0o234344
Hexadecimal 0x138E4

Divisor Catalog (54)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 801 890 900 1,068 1,335 1,602 1,780 2,225 2,670 3,204 4,005 4,450 5,340 6,675 8,010 8,900 13,350 16,020 20,025 26,700 40,050 80,100

Collatz Trajectory (138 steps to reach 1)

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

80,100 40,050 20,025 60,076 30,038 15,019 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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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