λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,018,016
2,018,016
25 × 32 × 72 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7^2 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 216
Divisor Sum (σ) 7,842,744
Proper Divisor Sum 5,824,728
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2017991 ← → #2018021

Radix Representation

Decimal 2018016
Binary 111101100101011100000 (21 bits)
Octal 0o7545340
Hexadecimal 0x1ECAE0

Divisor Catalog (60 of 216)

1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 49 52 56 63 66 72 77 78 84 88 91 96 98 99 104 112 117 126 132 143 144 147 154 156 168 176 182 196 198 208 224 231 234 252

Collatz Trajectory (60 steps to reach 1)

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

2,018,016 1,009,008 504,504 252,252 126,126 63,063 189,190 94,595 283,786 141,893 425,680 212,840 106,420 53,210 26,605 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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