λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,931,995
6,931,995
3 × 5 × 7 × 107 × 617
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 107 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,814,848
Proper Divisor Sum 5,882,853
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6931961 ← → #6931997

Radix Representation

Decimal 6931995
Binary 11010011100011000011011 (23 bits)
Octal 0o32343033
Hexadecimal 0x69C61B

Divisor Catalog (32)

1 3 5 7 15 21 35 105 107 321 535 617 749 1,605 1,851 2,247 3,085 3,745 4,319 9,255 11,235 12,957 21,595 64,785 66,019 198,057 330,095 462,133 990,285 1,386,399 2,310,665 6,931,995

Collatz Trajectory (222 steps to reach 1)

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

6,931,995 20,795,986 10,397,993 31,193,980 15,596,990 7,798,495 23,395,486 11,697,743 35,093,230 17,546,615 52,639,846 26,319,923 78,959,770 39,479,885 118,439,656 59,219,828 29,609,914 14,804,957 44,414,872 22,207,436 11,103,718 5,551,859 16,655,578 8,327,789 24,983,368 12,491,684 6,245,842 3,122,921 9,368,764 4,684,382 2,342,191 7,026,574 3,513,287 10,539,862 5,269,931 15,809,794 7,904,897 23,714,692 11,857,346 5,928,673 17,786,020 8,893,010 4,446,505 13,339,516 6,669,758 3,334,879 10,004,638 5,002,319 15,006,958 7,503,479 22,510,438 11,255,219 33,765,658 16,882,829 50,648,488 25,324,244 12,662,122 6,331,061 18,993,184 9,496,592

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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