λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,256,192
2,256,192
26 × 32 × 3917
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 3917
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 6,468,618
Proper Divisor Sum 4,212,426
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2256181 ← → #2256197

Radix Representation

Decimal 2256192
Binary 1000100110110101000000 (22 bits)
Octal 0o10466500
Hexadecimal 0x226D40

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3,917 7,834 11,751 15,668 23,502 31,336 35,253 47,004 62,672 70,506 94,008 125,344 141,012 188,016 250,688 282,024 376,032 564,048 752,064 1,128,096 2,256,192

Collatz Trajectory (60 steps to reach 1)

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

2,256,192 1,128,096 564,048 282,024 141,012 70,506 35,253 105,760 52,880 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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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