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Ratio Atlas
Atlas › Integer Profiles › Node 4,444,191
4,444,191
32 × 17 × 31 × 937
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 17 × 31 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,023,744
Proper Divisor Sum 2,579,553
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4444171 ← → #4444201

Radix Representation

Decimal 4444191
Binary 10000111101000000011111 (23 bits)
Octal 0o20750037
Hexadecimal 0x43D01F

Divisor Catalog (24)

1 3 9 17 31 51 93 153 279 527 937 1,581 2,811 4,743 8,433 15,929 29,047 47,787 87,141 143,361 261,423 493,799 1,481,397 4,444,191

Collatz Trajectory (286 steps to reach 1)

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

4,444,191 13,332,574 6,666,287 19,998,862 9,999,431 29,998,294 14,999,147 44,997,442 22,498,721 67,496,164 33,748,082 16,874,041 50,622,124 25,311,062 12,655,531 37,966,594 18,983,297 56,949,892 28,474,946 14,237,473 42,712,420 21,356,210 10,678,105 32,034,316 16,017,158 8,008,579 24,025,738 12,012,869 36,038,608 18,019,304 9,009,652 4,504,826 2,252,413 6,757,240 3,378,620 1,689,310 844,655 2,533,966 1,266,983 3,800,950 1,900,475 5,701,426 2,850,713 8,552,140 4,276,070 2,138,035 6,414,106 3,207,053 9,621,160 4,810,580 2,405,290 1,202,645 3,607,936 1,803,968 901,984 450,992 225,496 112,748 56,374 28,187

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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