λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,008,640
20,008,640
26 × 5 × 31 × 2017
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 31 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 49,206,912
Proper Divisor Sum 29,198,272
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20008621 ← → #20008649

Radix Representation

Decimal 20008640
Binary 1001100010100111011000000 (25 bits)
Octal 0o114247300
Hexadecimal 0x1314EC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1,240 1,984 2,017 2,480 4,034 4,960 8,068 9,920 10,085 16,136 20,170 32,272 40,340 62,527 64,544 80,680 125,054 129,088 161,360 250,108 312,635 322,720 500,216 625,270 645,440 1,000,432 1,250,540 2,000,864 2,501,080 4,001,728 5,002,160 10,004,320 20,008,640

Collatz Trajectory (84 steps to reach 1)

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

20,008,640 10,004,320 5,002,160 2,501,080 1,250,540 625,270 312,635 937,906 468,953 1,406,860 703,430 351,715 1,055,146 527,573 1,582,720 791,360 395,680 197,840 98,920 49,460 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

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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