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Ratio Atlas
Atlas › Integer Profiles › Node 6,836,726
6,836,726
2 × 132 × 113 × 179
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13^2 × 113 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,265,480
Proper Divisor Sum 4,428,754
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6836707 ← → #6836729

Radix Representation

Decimal 6836726
Binary 11010000101000111110110 (23 bits)
Octal 0o32050766
Hexadecimal 0x6851F6

Divisor Catalog (24)

1 2 13 26 113 169 179 226 338 358 1,469 2,327 2,938 4,654 19,097 20,227 30,251 38,194 40,454 60,502 262,951 525,902 3,418,363 6,836,726

Collatz Trajectory (160 steps to reach 1)

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

6,836,726 3,418,363 10,255,090 5,127,545 15,382,636 7,691,318 3,845,659 11,536,978 5,768,489 17,305,468 8,652,734 4,326,367 12,979,102 6,489,551 19,468,654 9,734,327 29,202,982 14,601,491 43,804,474 21,902,237 65,706,712 32,853,356 16,426,678 8,213,339 24,640,018 12,320,009 36,960,028 18,480,014 9,240,007 27,720,022 13,860,011 41,580,034 20,790,017 62,370,052 31,185,026 15,592,513 46,777,540 23,388,770 11,694,385 35,083,156 17,541,578 8,770,789 26,312,368 13,156,184 6,578,092 3,289,046 1,644,523 4,933,570 2,466,785 7,400,356 3,700,178 1,850,089 5,550,268 2,775,134 1,387,567 4,162,702 2,081,351 6,244,054 3,122,027 9,366,082

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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