λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,200
80,200
23 × 52 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 186,930
Proper Divisor Sum 106,730
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #80191 ← → #80207

Radix Representation

Decimal 80200
Binary 10011100101001000 (17 bits)
Octal 0o234510
Hexadecimal 0x13948

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 401 802 1,604 2,005 3,208 4,010 8,020 10,025 16,040 20,050 40,100 80,200

Collatz Trajectory (94 steps to reach 1)

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

80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 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 2,051 6,154 3,077

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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