λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,628,302
39,628,302
2 × 3 × 7 × 521 × 1811
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 521 × 1811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,802,944
Proper Divisor Sum 51,174,642
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #39628301 ← → #39628307

Radix Representation

Decimal 39628302
Binary 10010111001010111000001110 (26 bits)
Octal 0o227127016
Hexadecimal 0x25CAE0E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 521 1,042 1,563 1,811 3,126 3,622 3,647 5,433 7,294 10,866 10,941 12,677 21,882 25,354 38,031 76,062 943,531 1,887,062 2,830,593 5,661,186 6,604,717 13,209,434 19,814,151 39,628,302

Collatz Trajectory (191 steps to reach 1)

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

39,628,302 19,814,151 59,442,454 29,721,227 89,163,682 44,581,841 133,745,524 66,872,762 33,436,381 100,309,144 50,154,572 25,077,286 12,538,643 37,615,930 18,807,965 56,423,896 28,211,948 14,105,974 7,052,987 21,158,962 10,579,481 31,738,444 15,869,222 7,934,611 23,803,834 11,901,917 35,705,752 17,852,876 8,926,438 4,463,219 13,389,658 6,694,829 20,084,488 10,042,244 5,021,122 2,510,561 7,531,684 3,765,842 1,882,921 5,648,764 2,824,382 1,412,191 4,236,574 2,118,287 6,354,862 3,177,431 9,532,294 4,766,147 14,298,442 7,149,221 21,447,664 10,723,832 5,361,916 2,680,958 1,340,479 4,021,438 2,010,719 6,032,158 3,016,079 9,048,238

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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