λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,003,000
4,003,000
23 × 53 × 4003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^3 × 4003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,369,360
Proper Divisor Sum 5,366,360
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #4002997 ← → #4003001

Radix Representation

Decimal 4003000
Binary 1111010001010010111000 (22 bits)
Octal 0o17212270
Hexadecimal 0x3D14B8

Divisor Catalog (32)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1,000 4,003 8,006 16,012 20,015 32,024 40,030 80,060 100,075 160,120 200,150 400,300 500,375 800,600 1,000,750 2,001,500 4,003,000

Collatz Trajectory (141 steps to reach 1)

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

4,003,000 2,001,500 1,000,750 500,375 1,501,126 750,563 2,251,690 1,125,845 3,377,536 1,688,768 844,384 422,192 211,096 105,548 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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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