λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,600,200
9,600,200
23 × 52 × 23 × 2087
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 2087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,302,080
Proper Divisor Sum 13,701,880
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #9600181 ← → #9600251

Radix Representation

Decimal 9600200
Binary 100100100111110011001000 (24 bits)
Octal 0o44476310
Hexadecimal 0x927CC8

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1,150 2,087 2,300 4,174 4,600 8,348 10,435 16,696 20,870 41,740 48,001 52,175 83,480 96,002 104,350 192,004 208,700 240,005 384,008 417,400 480,010 960,020 1,200,025 1,920,040 2,400,050 4,800,100 9,600,200

Collatz Trajectory (93 steps to reach 1)

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

9,600,200 4,800,100 2,400,050 1,200,025 3,600,076 1,800,038 900,019 2,700,058 1,350,029 4,050,088 2,025,044 1,012,522 506,261 1,518,784 759,392 379,696 189,848 94,924 47,462 23,731 71,194 35,597 106,792 53,396 26,698 13,349 40,048 20,024 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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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