λ
Ratio Atlas
Atlas › Integer Profiles › Node 96,900
96,900
22 × 3 × 52 × 17 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 17 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 312,480
Proper Divisor Sum 215,580
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #96893 ← → #96907

Radix Representation

Decimal 96900
Binary 10111101010000100 (17 bits)
Octal 0o275204
Hexadecimal 0x17A84

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1,020 1,140 1,275 1,292 1,425 1,615 1,700 1,900 1,938 2,550 2,850 3,230 3,876

Collatz Trajectory (71 steps to reach 1)

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

96,900 48,450 24,225 72,676 36,338 18,169 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106

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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