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Ratio Atlas
Atlas › Integer Profiles › Node 997,200
997,200
24 × 32 × 52 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 3,473,054
Proper Divisor Sum 2,475,854
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #997163 ← → #997201

Radix Representation

Decimal 997200
Binary 11110011011101010000 (20 bits)
Octal 0o3633520
Hexadecimal 0xF3750

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 277 300 360 400 450 554 600 720 831 900 1,108 1,200 1,385 1,662 1,800 2,216 2,493 2,770 3,324 3,600 4,155 4,432 4,986 5,540 6,648

Collatz Trajectory (90 steps to reach 1)

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

997,200 498,600 249,300 124,650 62,325 186,976 93,488 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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