λ
Ratio Atlas
Atlas › Integer Profiles › Node 840,168
840,168
23 × 32 × 7 × 1667
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,602,080
Proper Divisor Sum 1,761,912
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #840163 ← → #840179

Radix Representation

Decimal 840168
Binary 11001101000111101000 (20 bits)
Octal 0o3150750
Hexadecimal 0xCD1E8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1,667 3,334 5,001 6,668 10,002 11,669 13,336 15,003 20,004 23,338 30,006 35,007 40,008 46,676 60,012 70,014 93,352 105,021 120,024 140,028 210,042 280,056 420,084 840,168

Collatz Trajectory (56 steps to reach 1)

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

840,168 420,084 210,042 105,021 315,064 157,532 78,766 39,383 118,150 59,075 177,226 88,613 265,840 132,920 66,460 33,230 16,615 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952 70,976 35,488 17,744 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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