λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,000,200
5,000,200
23 × 52 × 23 × 1087
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,142,080
Proper Divisor Sum 7,141,880
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #5000197 ← → #5000201

Radix Representation

Decimal 5000200
Binary 10011000100110000001000 (23 bits)
Octal 0o23046010
Hexadecimal 0x4C4C08

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1,087 1,150 2,174 2,300 4,348 4,600 5,435 8,696 10,870 21,740 25,001 27,175 43,480 50,002 54,350 100,004 108,700 125,005 200,008 217,400 250,010 500,020 625,025 1,000,040 1,250,050 2,500,100 5,000,200

Collatz Trajectory (113 steps to reach 1)

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

5,000,200 2,500,100 1,250,050 625,025 1,875,076 937,538 468,769 1,406,308 703,154 351,577 1,054,732 527,366 263,683 791,050 395,525 1,186,576 593,288 296,644 148,322 74,161 222,484 111,242 55,621 166,864 83,432 41,716 20,858 10,429 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

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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