λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,991,742
7,991,742
2 × 3 × 11 × 19 × 6373
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 19 × 6373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,357,120
Proper Divisor Sum 10,365,378
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7991713 ← → #7991743

Radix Representation

Decimal 7991742
Binary 11110011111000110111110 (23 bits)
Octal 0o36370676
Hexadecimal 0x79F1BE

Divisor Catalog (32)

1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1,254 6,373 12,746 19,119 38,238 70,103 121,087 140,206 210,309 242,174 363,261 420,618 726,522 1,331,957 2,663,914 3,995,871 7,991,742

Collatz Trajectory (142 steps to reach 1)

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

7,991,742 3,995,871 11,987,614 5,993,807 17,981,422 8,990,711 26,972,134 13,486,067 40,458,202 20,229,101 60,687,304 30,343,652 15,171,826 7,585,913 22,757,740 11,378,870 5,689,435 17,068,306 8,534,153 25,602,460 12,801,230 6,400,615 19,201,846 9,600,923 28,802,770 14,401,385 43,204,156 21,602,078 10,801,039 32,403,118 16,201,559 48,604,678 24,302,339 72,907,018 36,453,509 109,360,528 54,680,264 27,340,132 13,670,066 6,835,033 20,505,100 10,252,550 5,126,275 15,378,826 7,689,413 23,068,240 11,534,120 5,767,060 2,883,530 1,441,765 4,325,296 2,162,648 1,081,324 540,662 270,331 810,994 405,497 1,216,492 608,246 304,123

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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