λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,201,000
2,201,000
23 × 53 × 31 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^3 × 31 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,391,360
Proper Divisor Sum 3,190,360
Digit Sum / Digital Root 5 (Root: 5)
Adjacent Primes #2200997 ← → #2201033

Radix Representation

Decimal 2201000
Binary 1000011001010110101000 (22 bits)
Octal 0o10312650
Hexadecimal 0x2195A8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 31 40 50 62 71 100 124 125 142 155 200 248 250 284 310 355 500 568 620 710 775 1,000 1,240 1,420 1,550 1,775 2,201 2,840 3,100 3,550 3,875 4,402 6,200 7,100 7,750 8,804 8,875 11,005 14,200 15,500 17,608 17,750 22,010 31,000 35,500 44,020 55,025 71,000 88,040 110,050 220,100 275,125

Collatz Trajectory (73 steps to reach 1)

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

2,201,000 1,100,500 550,250 275,125 825,376 412,688 206,344 103,172 51,586 25,793 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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