λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,682,103
7,682,103
32 × 11 × 13 × 47 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 47 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,418,496
Proper Divisor Sum 5,736,393
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7682093 ← → #7682107

Radix Representation

Decimal 7682103
Binary 11101010011100000110111 (23 bits)
Octal 0o35234067
Hexadecimal 0x753837

Divisor Catalog (48)

1 3 9 11 13 33 39 47 99 117 127 141 143 381 423 429 517 611 1,143 1,287 1,397 1,551 1,651 1,833 4,191 4,653 4,953 5,499 5,969 6,721 12,573 14,859 17,907 18,161 20,163 53,721 54,483 60,489 65,659 77,597 163,449 196,977 232,791 590,931 698,373 853,567 2,560,701 7,682,103

Collatz Trajectory (124 steps to reach 1)

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

7,682,103 23,046,310 11,523,155 34,569,466 17,284,733 51,854,200 25,927,100 12,963,550 6,481,775 19,445,326 9,722,663 29,167,990 14,583,995 43,751,986 21,875,993 65,627,980 32,813,990 16,406,995 49,220,986 24,610,493 73,831,480 36,915,740 18,457,870 9,228,935 27,686,806 13,843,403 41,530,210 20,765,105 62,295,316 31,147,658 15,573,829 46,721,488 23,360,744 11,680,372 5,840,186 2,920,093 8,760,280 4,380,140 2,190,070 1,095,035 3,285,106 1,642,553 4,927,660 2,463,830 1,231,915 3,695,746 1,847,873 5,543,620 2,771,810 1,385,905 4,157,716 2,078,858 1,039,429 3,118,288 1,559,144 779,572 389,786 194,893 584,680 292,340

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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