λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,782,848
11,782,848
26 × 3 × 7 × 11 × 797
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 11 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 38,916,864
Proper Divisor Sum 27,134,016
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #11782847 ← → #11782861

Radix Representation

Decimal 11782848
Binary 101100111100101011000000 (24 bits)
Octal 0o54745300
Hexadecimal 0xB3CAC0

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 797 924 1,056 1,232 1,344 1,594 1,848 2,112 2,391 2,464 3,188 3,696 4,782 4,928 5,579

Collatz Trajectory (39 steps to reach 1)

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

11,782,848 5,891,424 2,945,712 1,472,856 736,428 368,214 184,107 552,322 276,161 828,484 414,242 207,121 621,364 310,682 155,341 466,024 233,012 116,506 58,253 174,760 87,380 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

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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