λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,005,520
20,005,520
24 × 5 × 113 × 2213
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 113 × 2213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 46,945,656
Proper Divisor Sum 26,940,136
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #20005519 ← → #20005523

Radix Representation

Decimal 20005520
Binary 1001100010100001010010000 (25 bits)
Octal 0o114241220
Hexadecimal 0x1314290

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1,130 1,808 2,213 2,260 4,426 4,520 8,852 9,040 11,065 17,704 22,130 35,408 44,260 88,520 177,040 250,069 500,138 1,000,276 1,250,345 2,000,552 2,500,690 4,001,104 5,001,380 10,002,760 20,005,520

Collatz Trajectory (226 steps to reach 1)

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

20,005,520 10,002,760 5,001,380 2,500,690 1,250,345 3,751,036 1,875,518 937,759 2,813,278 1,406,639 4,219,918 2,109,959 6,329,878 3,164,939 9,494,818 4,747,409 14,242,228 7,121,114 3,560,557 10,681,672 5,340,836 2,670,418 1,335,209 4,005,628 2,002,814 1,001,407 3,004,222 1,502,111 4,506,334 2,253,167 6,759,502 3,379,751 10,139,254 5,069,627 15,208,882 7,604,441 22,813,324 11,406,662 5,703,331 17,109,994 8,554,997 25,664,992 12,832,496 6,416,248 3,208,124 1,604,062 802,031 2,406,094 1,203,047 3,609,142 1,804,571 5,413,714 2,706,857 8,120,572 4,060,286 2,030,143 6,090,430 3,045,215 9,135,646 4,567,823

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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