λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,140
28,140
22 × 3 × 5 × 7 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,392
Proper Divisor Sum 63,252
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #28123 ← → #28151

Radix Representation

Decimal 28140
Binary 110110111101100 (15 bits)
Octal 0o66754
Hexadecimal 0x6DEC

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1,005 1,340 1,407 1,876 2,010 2,345 2,814 4,020 4,690 5,628 7,035 9,380 14,070 28,140

Collatz Trajectory (108 steps to reach 1)

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

28,140 14,070 7,035 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

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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