λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,815,200
1,815,200
25 × 52 × 2269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 2269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,433,310
Proper Divisor Sum 2,618,110
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1815199 ← → #1815217

Radix Representation

Decimal 1815200
Binary 110111011001010100000 (21 bits)
Octal 0o6731240
Hexadecimal 0x1BB2A0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2,269 4,538 9,076 11,345 18,152 22,690 36,304 45,380 56,725 72,608 90,760 113,450 181,520 226,900 363,040 453,800 907,600 1,815,200

Collatz Trajectory (65 steps to reach 1)

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

1,815,200 907,600 453,800 226,900 113,450 56,725 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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