λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,451,895
4,451,895
33 × 5 × 72 × 673
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,220,320
Proper Divisor Sum 4,768,425
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4451893 ← → #4451921

Radix Representation

Decimal 4451895
Binary 10000111110111000110111 (23 bits)
Octal 0o20767067
Hexadecimal 0x43EE37

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 673 735 945 1,323 2,019 2,205 3,365 4,711 6,057 6,615 10,095 14,133 18,171 23,555 30,285 32,977 42,399 70,665 90,855 98,931 127,197 164,885 211,995 296,793 494,655 635,985 890,379 1,483,965 4,451,895

Collatz Trajectory (193 steps to reach 1)

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

4,451,895 13,355,686 6,677,843 20,033,530 10,016,765 30,050,296 15,025,148 7,512,574 3,756,287 11,268,862 5,634,431 16,903,294 8,451,647 25,354,942 12,677,471 38,032,414 19,016,207 57,048,622 28,524,311 85,572,934 42,786,467 128,359,402 64,179,701 192,539,104 96,269,552 48,134,776 24,067,388 12,033,694 6,016,847 18,050,542 9,025,271 27,075,814 13,537,907 40,613,722 20,306,861 60,920,584 30,460,292 15,230,146 7,615,073 22,845,220 11,422,610 5,711,305 17,133,916 8,566,958 4,283,479 12,850,438 6,425,219 19,275,658 9,637,829 28,913,488 14,456,744 7,228,372 3,614,186 1,807,093 5,421,280 2,710,640 1,355,320 677,660 338,830 169,415

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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