λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,909,595
6,909,595
5 × 7 × 11 × 131 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 131 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,492,416
Proper Divisor Sum 3,582,821
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6909587 ← → #6909613

Radix Representation

Decimal 6909595
Binary 11010010110111010011011 (23 bits)
Octal 0o32267233
Hexadecimal 0x696E9B

Divisor Catalog (32)

1 5 7 11 35 55 77 131 137 385 655 685 917 959 1,441 1,507 4,585 4,795 7,205 7,535 10,087 10,549 17,947 50,435 52,745 89,735 125,629 197,417 628,145 987,085 1,381,919 6,909,595

Collatz Trajectory (191 steps to reach 1)

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

6,909,595 20,728,786 10,364,393 31,093,180 15,546,590 7,773,295 23,319,886 11,659,943 34,979,830 17,489,915 52,469,746 26,234,873 78,704,620 39,352,310 19,676,155 59,028,466 29,514,233 88,542,700 44,271,350 22,135,675 66,407,026 33,203,513 99,610,540 49,805,270 24,902,635 74,707,906 37,353,953 112,061,860 56,030,930 28,015,465 84,046,396 42,023,198 21,011,599 63,034,798 31,517,399 94,552,198 47,276,099 141,828,298 70,914,149 212,742,448 106,371,224 53,185,612 26,592,806 13,296,403 39,889,210 19,944,605 59,833,816 29,916,908 14,958,454 7,479,227 22,437,682 11,218,841 33,656,524 16,828,262 8,414,131 25,242,394 12,621,197 37,863,592 18,931,796 9,465,898

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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