λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,199,931
4,199,931
34 × 19 × 2729
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 19 × 2729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,606,600
Proper Divisor Sum 2,406,669
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4199929 ← → #4199957

Radix Representation

Decimal 4199931
Binary 10000000001010111111011 (23 bits)
Octal 0o20012773
Hexadecimal 0x4015FB

Divisor Catalog (20)

1 3 9 19 27 57 81 171 513 1,539 2,729 8,187 24,561 51,851 73,683 155,553 221,049 466,659 1,399,977 4,199,931

Collatz Trajectory (229 steps to reach 1)

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

4,199,931 12,599,794 6,299,897 18,899,692 9,449,846 4,724,923 14,174,770 7,087,385 21,262,156 10,631,078 5,315,539 15,946,618 7,973,309 23,919,928 11,959,964 5,979,982 2,989,991 8,969,974 4,484,987 13,454,962 6,727,481 20,182,444 10,091,222 5,045,611 15,136,834 7,568,417 22,705,252 11,352,626 5,676,313 17,028,940 8,514,470 4,257,235 12,771,706 6,385,853 19,157,560 9,578,780 4,789,390 2,394,695 7,184,086 3,592,043 10,776,130 5,388,065 16,164,196 8,082,098 4,041,049 12,123,148 6,061,574 3,030,787 9,092,362 4,546,181 13,638,544 6,819,272 3,409,636 1,704,818 852,409 2,557,228 1,278,614 639,307 1,917,922 958,961

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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