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Ratio Atlas
Atlas › Integer Profiles › Node 4,139,928
4,139,928
23 × 32 × 13 × 4423
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 4423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,077,520
Proper Divisor Sum 7,937,592
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4139923 ← → #4139951

Radix Representation

Decimal 4139928
Binary 1111110010101110011000 (22 bits)
Octal 0o17625630
Hexadecimal 0x3F2B98

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4,423 8,846 13,269 17,692 26,538 35,384 39,807 53,076 57,499 79,614 106,152 114,998 159,228 172,497 229,996 318,456 344,994 459,992 517,491 689,988 1,034,982 1,379,976 2,069,964 4,139,928

Collatz Trajectory (198 steps to reach 1)

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

4,139,928 2,069,964 1,034,982 517,491 1,552,474 776,237 2,328,712 1,164,356 582,178 291,089 873,268 436,634 218,317 654,952 327,476 163,738 81,869 245,608 122,804 61,402 30,701 92,104 46,052 23,026 11,513 34,540 17,270 8,635 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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