λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,016,128
2,016,128
27 × 19 × 829
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 19 × 829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,233,000
Proper Divisor Sum 2,216,872
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2016127 ← → #2016137

Radix Representation

Decimal 2016128
Binary 111101100001110000000 (21 bits)
Octal 0o7541600
Hexadecimal 0x1EC380

Divisor Catalog (32)

1 2 4 8 16 19 32 38 64 76 128 152 304 608 829 1,216 1,658 2,432 3,316 6,632 13,264 15,751 26,528 31,502 53,056 63,004 106,112 126,008 252,016 504,032 1,008,064 2,016,128

Collatz Trajectory (153 steps to reach 1)

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

2,016,128 1,008,064 504,032 252,016 126,008 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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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