λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,166,200
4,166,200
23 × 52 × 37 × 563
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 37 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,965,880
Proper Divisor Sum 5,799,680
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4166191 ← → #4166203

Radix Representation

Decimal 4166200
Binary 1111111001001000111000 (22 bits)
Octal 0o17711070
Hexadecimal 0x3F9238

Divisor Catalog (48)

1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 563 740 925 1,126 1,480 1,850 2,252 2,815 3,700 4,504 5,630 7,400 11,260 14,075 20,831 22,520 28,150 41,662 56,300 83,324 104,155 112,600 166,648 208,310 416,620 520,775 833,240 1,041,550 2,083,100 4,166,200

Collatz Trajectory (185 steps to reach 1)

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

4,166,200 2,083,100 1,041,550 520,775 1,562,326 781,163 2,343,490 1,171,745 3,515,236 1,757,618 878,809 2,636,428 1,318,214 659,107 1,977,322 988,661 2,965,984 1,482,992 741,496 370,748 185,374 92,687 278,062 139,031 417,094 208,547 625,642 312,821 938,464 469,232 234,616 117,308 58,654 29,327 87,982 43,991 131,974 65,987 197,962 98,981 296,944 148,472 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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