λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,997,406
1,997,406
2 × 33 × 47 × 787
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 47 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,538,880
Proper Divisor Sum 2,541,474
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1997351 ← → #1997407

Radix Representation

Decimal 1997406
Binary 111100111101001011110 (21 bits)
Octal 0o7475136
Hexadecimal 0x1E7A5E

Divisor Catalog (32)

1 2 3 6 9 18 27 47 54 94 141 282 423 787 846 1,269 1,574 2,361 2,538 4,722 7,083 14,166 21,249 36,989 42,498 73,978 110,967 221,934 332,901 665,802 998,703 1,997,406

Collatz Trajectory (184 steps to reach 1)

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

1,997,406 998,703 2,996,110 1,498,055 4,494,166 2,247,083 6,741,250 3,370,625 10,111,876 5,055,938 2,527,969 7,583,908 3,791,954 1,895,977 5,687,932 2,843,966 1,421,983 4,265,950 2,132,975 6,398,926 3,199,463 9,598,390 4,799,195 14,397,586 7,198,793 21,596,380 10,798,190 5,399,095 16,197,286 8,098,643 24,295,930 12,147,965 36,443,896 18,221,948 9,110,974 4,555,487 13,666,462 6,833,231 20,499,694 10,249,847 30,749,542 15,374,771 46,124,314 23,062,157 69,186,472 34,593,236 17,296,618 8,648,309 25,944,928 12,972,464 6,486,232 3,243,116 1,621,558 810,779 2,432,338 1,216,169 3,648,508 1,824,254 912,127 2,736,382

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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