λ
Ratio Atlas
Atlas › Integer Profiles › Node 90,200,320
90,200,320
28 × 5 × 7 × 10067
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 5 × 7 × 10067
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 246,947,904
Proper Divisor Sum 156,747,584
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #90200311 ← → #90200381

Radix Representation

Decimal 90200320
Binary 101011000000101100100000000 (27 bits)
Octal 0o530054400
Hexadecimal 0x5605900

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1,120 1,280 1,792 2,240 4,480 8,960 10,067 20,134 40,268 50,335 70,469 80,536 100,670 140,938 161,072 201,340 281,876 322,144 352,345 402,680 563,752 644,288 704,690 805,360 1,127,504 1,288,576 1,409,380 1,610,720 2,255,008 2,577,152

Collatz Trajectory (174 steps to reach 1)

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

90,200,320 45,100,160 22,550,080 11,275,040 5,637,520 2,818,760 1,409,380 704,690 352,345 1,057,036 528,518 264,259 792,778 396,389 1,189,168 594,584 297,292 148,646 74,323 222,970 111,485 334,456 167,228 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442

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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