λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,842,280
6,842,280
23 × 3 × 5 × 19 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 19 × 3001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,614,400
Proper Divisor Sum 14,772,120
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6842273 ← → #6842281

Radix Representation

Decimal 6842280
Binary 11010000110011110101000 (23 bits)
Octal 0o32063650
Hexadecimal 0x6867A8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1,140 2,280 3,001 6,002 9,003 12,004 15,005 18,006 24,008 30,010 36,012 45,015 57,019 60,020 72,024 90,030 114,038 120,040 171,057 180,060 228,076 285,095 342,114 360,120 456,152 570,190 684,228 855,285 1,140,380 1,368,456

Collatz Trajectory (77 steps to reach 1)

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

6,842,280 3,421,140 1,710,570 855,285 2,565,856 1,282,928 641,464 320,732 160,366 80,183 240,550 120,275 360,826 180,413 541,240 270,620 135,310 67,655 202,966 101,483 304,450 152,225 456,676 228,338 114,169 342,508 171,254 85,627 256,882 128,441 385,324 192,662 96,331 288,994 144,497 433,492 216,746 108,373 325,120 162,560 81,280 40,640 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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