λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,637,993
8,637,993
32 × 7 × 13 × 53 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 53 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,724,800
Proper Divisor Sum 7,086,807
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8637991 ← → #8638033

Radix Representation

Decimal 8637993
Binary 100000111100111000101001 (24 bits)
Octal 0o40747051
Hexadecimal 0x83CE29

Divisor Catalog (48)

1 3 7 9 13 21 39 53 63 91 117 159 199 273 371 477 597 689 819 1,113 1,393 1,791 2,067 2,587 3,339 4,179 4,823 6,201 7,761 10,547 12,537 14,469 18,109 23,283 31,641 43,407 54,327 73,829 94,923 137,111 162,981 221,487 411,333 664,461 959,777 1,233,999 2,879,331 8,637,993

Collatz Trajectory (243 steps to reach 1)

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

8,637,993 25,913,980 12,956,990 6,478,495 19,435,486 9,717,743 29,153,230 14,576,615 43,729,846 21,864,923 65,594,770 32,797,385 98,392,156 49,196,078 24,598,039 73,794,118 36,897,059 110,691,178 55,345,589 166,036,768 83,018,384 41,509,192 20,754,596 10,377,298 5,188,649 15,565,948 7,782,974 3,891,487 11,674,462 5,837,231 17,511,694 8,755,847 26,267,542 13,133,771 39,401,314 19,700,657 59,101,972 29,550,986 14,775,493 44,326,480 22,163,240 11,081,620 5,540,810 2,770,405 8,311,216 4,155,608 2,077,804 1,038,902 519,451 1,558,354 779,177 2,337,532 1,168,766 584,383 1,753,150 876,575 2,629,726 1,314,863 3,944,590 1,972,295

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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