λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,002,182
2,002,182
2 × 3 × 7 × 13 × 19 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 19 × 193
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,214,720
Proper Divisor Sum 3,212,538
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2002159 ← → #2002199

Radix Representation

Decimal 2002182
Binary 111101000110100000110 (21 bits)
Octal 0o7506406
Hexadecimal 0x1E8D06

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 193 247 266 273 386 399 494 546 579 741 798 1,158 1,351 1,482 1,729 2,509 2,702 3,458 3,667 4,053 5,018 5,187 7,334 7,527 8,106 10,374 11,001 15,054 17,563 22,002 25,669 35,126 47,671 51,338 52,689 77,007 95,342 105,378 143,013 154,014 286,026

Collatz Trajectory (114 steps to reach 1)

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

2,002,182 1,001,091 3,003,274 1,501,637 4,504,912 2,252,456 1,126,228 563,114 281,557 844,672 422,336 211,168 105,584 52,792 26,396 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707

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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