λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,181,972
2,181,972
22 × 3 × 13 × 71 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 71 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,588,352
Proper Divisor Sum 3,406,380
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2181953 ← → #2181973

Radix Representation

Decimal 2181972
Binary 1000010100101101010100 (22 bits)
Octal 0o10245524
Hexadecimal 0x214B54

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 71 78 142 156 197 213 284 394 426 591 788 852 923 1,182 1,846 2,364 2,561 2,769 3,692 5,122 5,538 7,683 10,244 11,076 13,987 15,366 27,974 30,732 41,961 55,948 83,922 167,844 181,831 363,662 545,493 727,324 1,090,986 2,181,972

Collatz Trajectory (135 steps to reach 1)

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

2,181,972 1,090,986 545,493 1,636,480 818,240 409,120 204,560 102,280 51,140 25,570 12,785 38,356 19,178 9,589 28,768 14,384 7,192 3,596 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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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