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Ratio Atlas
Atlas › Integer Profiles › Node 3,906,375
3,906,375
3 × 53 × 11 × 947
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,098,624
Proper Divisor Sum 3,192,249
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3906373 ← → #3906401

Radix Representation

Decimal 3906375
Binary 1110111001101101000111 (22 bits)
Octal 0o16715507
Hexadecimal 0x3B9B47

Divisor Catalog (32)

1 3 5 11 15 25 33 55 75 125 165 275 375 825 947 1,375 2,841 4,125 4,735 10,417 14,205 23,675 31,251 52,085 71,025 118,375 156,255 260,425 355,125 781,275 1,302,125 3,906,375

Collatz Trajectory (229 steps to reach 1)

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

3,906,375 11,719,126 5,859,563 17,578,690 8,789,345 26,368,036 13,184,018 6,592,009 19,776,028 9,888,014 4,944,007 14,832,022 7,416,011 22,248,034 11,124,017 33,372,052 16,686,026 8,343,013 25,029,040 12,514,520 6,257,260 3,128,630 1,564,315 4,692,946 2,346,473 7,039,420 3,519,710 1,759,855 5,279,566 2,639,783 7,919,350 3,959,675 11,879,026 5,939,513 17,818,540 8,909,270 4,454,635 13,363,906 6,681,953 20,045,860 10,022,930 5,011,465 15,034,396 7,517,198 3,758,599 11,275,798 5,637,899 16,913,698 8,456,849 25,370,548 12,685,274 6,342,637 19,027,912 9,513,956 4,756,978 2,378,489 7,135,468 3,567,734 1,783,867 5,351,602

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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