λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,220,197
8,220,197
17 × 483541
Deficient Odd Composite

Prime Factor Structure

Factorization String 17 × 483541
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,703,756
Proper Divisor Sum 483,559
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8220193 ← → #8220203

Radix Representation

Decimal 8220197
Binary 11111010110111000100101 (23 bits)
Octal 0o37267045
Hexadecimal 0x7D6E25

Divisor Catalog (4)

1 17 483,541 8,220,197

Collatz Trajectory (230 steps to reach 1)

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

8,220,197 24,660,592 12,330,296 6,165,148 3,082,574 1,541,287 4,623,862 2,311,931 6,935,794 3,467,897 10,403,692 5,201,846 2,600,923 7,802,770 3,901,385 11,704,156 5,852,078 2,926,039 8,778,118 4,389,059 13,167,178 6,583,589 19,750,768 9,875,384 4,937,692 2,468,846 1,234,423 3,703,270 1,851,635 5,554,906 2,777,453 8,332,360 4,166,180 2,083,090 1,041,545 3,124,636 1,562,318 781,159 2,343,478 1,171,739 3,515,218 1,757,609 5,272,828 2,636,414 1,318,207 3,954,622 1,977,311 5,931,934 2,965,967 8,897,902 4,448,951 13,346,854 6,673,427 20,020,282 10,010,141 30,030,424 15,015,212 7,507,606 3,753,803 11,261,410

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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