λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,093,670
8,093,670
2 × 3 × 5 × 13 × 20753
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 20753
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,920,032
Proper Divisor Sum 12,826,362
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8093669 ← → #8093671

Radix Representation

Decimal 8093670
Binary 11110110111111111100110 (23 bits)
Octal 0o36677746
Hexadecimal 0x7B7FE6

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 20,753 41,506 62,259 103,765 124,518 207,530 269,789 311,295 539,578 622,590 809,367 1,348,945 1,618,734 2,697,890 4,046,835 8,093,670

Collatz Trajectory (137 steps to reach 1)

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

8,093,670 4,046,835 12,140,506 6,070,253 18,210,760 9,105,380 4,552,690 2,276,345 6,829,036 3,414,518 1,707,259 5,121,778 2,560,889 7,682,668 3,841,334 1,920,667 5,762,002 2,881,001 8,643,004 4,321,502 2,160,751 6,482,254 3,241,127 9,723,382 4,861,691 14,585,074 7,292,537 21,877,612 10,938,806 5,469,403 16,408,210 8,204,105 24,612,316 12,306,158 6,153,079 18,459,238 9,229,619 27,688,858 13,844,429 41,533,288 20,766,644 10,383,322 5,191,661 15,574,984 7,787,492 3,893,746 1,946,873 5,840,620 2,920,310 1,460,155 4,380,466 2,190,233 6,570,700 3,285,350 1,642,675 4,928,026 2,464,013 7,392,040 3,696,020 1,848,010

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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