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Ratio Atlas
Atlas › Integer Profiles › Node 20,475
20,475
32 × 52 × 7 × 13
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 45,136
Proper Divisor Sum 24,661
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20443 ← → #20477

Radix Representation

Decimal 20475
Binary 100111111111011 (15 bits)
Octal 0o47773
Hexadecimal 0x4FFB

Divisor Catalog (36)

1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1,365 1,575 2,275 2,925 4,095 6,825 20,475

Collatz Trajectory (61 steps to reach 1)

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

20,475 61,426 30,713 92,140 46,070 23,035 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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