λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,036,200
8,036,200
23 × 52 × 23 × 1747
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,507,680
Proper Divisor Sum 11,471,480
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #8036167 ← → #8036209

Radix Representation

Decimal 8036200
Binary 11110101001111101101000 (23 bits)
Octal 0o36517550
Hexadecimal 0x7A9F68

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1,150 1,747 2,300 3,494 4,600 6,988 8,735 13,976 17,470 34,940 40,181 43,675 69,880 80,362 87,350 160,724 174,700 200,905 321,448 349,400 401,810 803,620 1,004,525 1,607,240 2,009,050 4,018,100 8,036,200

Collatz Trajectory (168 steps to reach 1)

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

8,036,200 4,018,100 2,009,050 1,004,525 3,013,576 1,506,788 753,394 376,697 1,130,092 565,046 282,523 847,570 423,785 1,271,356 635,678 317,839 953,518 476,759 1,430,278 715,139 2,145,418 1,072,709 3,218,128 1,609,064 804,532 402,266 201,133 603,400 301,700 150,850 75,425 226,276 113,138 56,569 169,708 84,854 42,427 127,282 63,641 190,924 95,462 47,731 143,194 71,597 214,792 107,396 53,698 26,849 80,548 40,274 20,137 60,412 30,206 15,103 45,310 22,655 67,966 33,983 101,950 50,975

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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