λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,091,200
4,091,200
26 × 52 × 2557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 2557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 10,070,846
Proper Divisor Sum 5,979,646
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4091177 ← → #4091239

Radix Representation

Decimal 4091200
Binary 1111100110110101000000 (22 bits)
Octal 0o17466500
Hexadecimal 0x3E6D40

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1,600 2,557 5,114 10,228 12,785 20,456 25,570 40,912 51,140 63,925 81,824 102,280 127,850 163,648 204,560 255,700 409,120 511,400 818,240 1,022,800 2,045,600 4,091,200

Collatz Trajectory (92 steps to reach 1)

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

4,091,200 2,045,600 1,022,800 511,400 255,700 127,850 63,925 191,776 95,888 47,944 23,972 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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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