λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,752,200
3,752,200
23 × 52 × 73 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 73 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,877,780
Proper Divisor Sum 5,125,580
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3752191 ← → #3752219

Radix Representation

Decimal 3752200
Binary 1110010100000100001000 (22 bits)
Octal 0o16240410
Hexadecimal 0x394108

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 73 100 146 200 257 292 365 514 584 730 1,028 1,285 1,460 1,825 2,056 2,570 2,920 3,650 5,140 6,425 7,300 10,280 12,850 14,600 18,761 25,700 37,522 51,400 75,044 93,805 150,088 187,610 375,220 469,025 750,440 938,050 1,876,100 3,752,200

Collatz Trajectory (172 steps to reach 1)

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

3,752,200 1,876,100 938,050 469,025 1,407,076 703,538 351,769 1,055,308 527,654 263,827 791,482 395,741 1,187,224 593,612 296,806 148,403 445,210 222,605 667,816 333,908 166,954 83,477 250,432 125,216 62,608 31,304 15,652 7,826 3,913 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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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