λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,006,665
20,006,665
5 × 7 × 23 × 29 × 857
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 23 × 29 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,652,480
Proper Divisor Sum 9,645,815
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #20006663 ← → #20006681

Radix Representation

Decimal 20006665
Binary 1001100010100011100001001 (25 bits)
Octal 0o114243411
Hexadecimal 0x1314709

Divisor Catalog (32)

1 5 7 23 29 35 115 145 161 203 667 805 857 1,015 3,335 4,285 4,669 5,999 19,711 23,345 24,853 29,995 98,555 124,265 137,977 173,971 571,619 689,885 869,855 2,858,095 4,001,333 20,006,665

Collatz Trajectory (190 steps to reach 1)

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

20,006,665 60,019,996 30,009,998 15,004,999 45,014,998 22,507,499 67,522,498 33,761,249 101,283,748 50,641,874 25,320,937 75,962,812 37,981,406 18,990,703 56,972,110 28,486,055 85,458,166 42,729,083 128,187,250 64,093,625 192,280,876 96,140,438 48,070,219 144,210,658 72,105,329 216,315,988 108,157,994 54,078,997 162,236,992 81,118,496 40,559,248 20,279,624 10,139,812 5,069,906 2,534,953 7,604,860 3,802,430 1,901,215 5,703,646 2,851,823 8,555,470 4,277,735 12,833,206 6,416,603 19,249,810 9,624,905 28,874,716 14,437,358 7,218,679 21,656,038 10,828,019 32,484,058 16,242,029 48,726,088 24,363,044 12,181,522 6,090,761 18,272,284 9,136,142 4,568,071

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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