λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,003,720
20,003,720
23 × 5 × 112 × 4133
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 11^2 × 4133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,483,980
Proper Divisor Sum 29,480,260
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #20003719 ← → #20003801

Radix Representation

Decimal 20003720
Binary 1001100010011101110001000 (25 bits)
Octal 0o114235610
Hexadecimal 0x1313B88

Divisor Catalog (48)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1,210 2,420 4,133 4,840 8,266 16,532 20,665 33,064 41,330 45,463 82,660 90,926 165,320 181,852 227,315 363,704 454,630 500,093 909,260 1,000,186 1,818,520 2,000,372 2,500,465 4,000,744 5,000,930 10,001,860 20,003,720

Collatz Trajectory (84 steps to reach 1)

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

20,003,720 10,001,860 5,000,930 2,500,465 7,501,396 3,750,698 1,875,349 5,626,048 2,813,024 1,406,512 703,256 351,628 175,814 87,907 263,722 131,861 395,584 197,792 98,896 49,448 24,724 12,362 6,181 18,544 9,272 4,636 2,318 1,159 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 #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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