λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,679,205
7,679,205
34 × 5 × 67 × 283
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 67 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,020,512
Proper Divisor Sum 6,341,307
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7679201 ← → #7679207

Radix Representation

Decimal 7679205
Binary 11101010010110011100101 (23 bits)
Octal 0o35226345
Hexadecimal 0x752CE5

Divisor Catalog (40)

1 3 5 9 15 27 45 67 81 135 201 283 335 405 603 849 1,005 1,415 1,809 2,547 3,015 4,245 5,427 7,641 9,045 12,735 18,961 22,923 27,135 38,205 56,883 94,805 114,615 170,649 284,415 511,947 853,245 1,535,841 2,559,735 7,679,205

Collatz Trajectory (204 steps to reach 1)

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

7,679,205 23,037,616 11,518,808 5,759,404 2,879,702 1,439,851 4,319,554 2,159,777 6,479,332 3,239,666 1,619,833 4,859,500 2,429,750 1,214,875 3,644,626 1,822,313 5,466,940 2,733,470 1,366,735 4,100,206 2,050,103 6,150,310 3,075,155 9,225,466 4,612,733 13,838,200 6,919,100 3,459,550 1,729,775 5,189,326 2,594,663 7,783,990 3,891,995 11,675,986 5,837,993 17,513,980 8,756,990 4,378,495 13,135,486 6,567,743 19,703,230 9,851,615 29,554,846 14,777,423 44,332,270 22,166,135 66,498,406 33,249,203 99,747,610 49,873,805 149,621,416 74,810,708 37,405,354 18,702,677 56,108,032 28,054,016 14,027,008 7,013,504 3,506,752 1,753,376

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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