λ
Ratio Atlas
Atlas › Integer Profiles › Node 211,680
211,680
25 × 33 × 5 × 72
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 7^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 861,840
Proper Divisor Sum 650,160
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #211663 ← → #211681

Radix Representation

Decimal 211680
Binary 110011101011100000 (18 bits)
Octal 0o635340
Hexadecimal 0x33AE0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 84 90 96 98 105 108 112 120 126 135 140 144 147 160 168 180 189 196 210 216 224 240 245 252

Collatz Trajectory (80 steps to reach 1)

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

211,680 105,840 52,920 26,460 13,230 6,615 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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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