λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,005,713
20,005,713
32 × 7 × 132 × 1879
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13^2 × 1879
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 35,780,160
Proper Divisor Sum 15,774,447
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20005709 ← → #20005717

Radix Representation

Decimal 20005713
Binary 1001100010100001101010001 (25 bits)
Octal 0o114241521
Hexadecimal 0x1314351

Divisor Catalog (36)

1 3 7 9 13 21 39 63 91 117 169 273 507 819 1,183 1,521 1,879 3,549 5,637 10,647 13,153 16,911 24,427 39,459 73,281 118,377 170,989 219,843 317,551 512,967 952,653 1,538,901 2,222,857 2,857,959 6,668,571 20,005,713

Collatz Trajectory (120 steps to reach 1)

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

20,005,713 60,017,140 30,008,570 15,004,285 45,012,856 22,506,428 11,253,214 5,626,607 16,879,822 8,439,911 25,319,734 12,659,867 37,979,602 18,989,801 56,969,404 28,484,702 14,242,351 42,727,054 21,363,527 64,090,582 32,045,291 96,135,874 48,067,937 144,203,812 72,101,906 36,050,953 108,152,860 54,076,430 27,038,215 81,114,646 40,557,323 121,671,970 60,835,985 182,507,956 91,253,978 45,626,989 136,880,968 68,440,484 34,220,242 17,110,121 51,330,364 25,665,182 12,832,591 38,497,774 19,248,887 57,746,662 28,873,331 86,619,994 43,309,997 129,929,992 64,964,996 32,482,498 16,241,249 48,723,748 24,361,874 12,180,937 36,542,812 18,271,406 9,135,703 27,407,110

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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