λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,079,952
2,079,952
24 × 73 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7^3 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,712,000
Proper Divisor Sum 2,632,048
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2079943 ← → #2079997

Radix Representation

Decimal 2079952
Binary 111111011110011010000 (21 bits)
Octal 0o7736320
Hexadecimal 0x1FBCD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 49 56 98 112 196 343 379 392 686 758 784 1,372 1,516 2,653 2,744 3,032 5,306 5,488 6,064 10,612 18,571 21,224 37,142 42,448 74,284 129,997 148,568 259,994 297,136 519,988 1,039,976 2,079,952

Collatz Trajectory (104 steps to reach 1)

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

2,079,952 1,039,976 519,988 259,994 129,997 389,992 194,996 97,498 48,749 146,248 73,124 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367

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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