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Ratio Atlas
Atlas › Integer Profiles › Node 3,000,807
3,000,807
35 × 53 × 233
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 53 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,599,504
Proper Divisor Sum 1,598,697
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3000797 ← → #3000821

Radix Representation

Decimal 3000807
Binary 1011011100100111100111 (22 bits)
Octal 0o13344747
Hexadecimal 0x2DC9E7

Divisor Catalog (24)

1 3 9 27 53 81 159 233 243 477 699 1,431 2,097 4,293 6,291 12,349 12,879 18,873 37,047 56,619 111,141 333,423 1,000,269 3,000,807

Collatz Trajectory (195 steps to reach 1)

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

3,000,807 9,002,422 4,501,211 13,503,634 6,751,817 20,255,452 10,127,726 5,063,863 15,191,590 7,595,795 22,787,386 11,393,693 34,181,080 17,090,540 8,545,270 4,272,635 12,817,906 6,408,953 19,226,860 9,613,430 4,806,715 14,420,146 7,210,073 21,630,220 10,815,110 5,407,555 16,222,666 8,111,333 24,334,000 12,167,000 6,083,500 3,041,750 1,520,875 4,562,626 2,281,313 6,843,940 3,421,970 1,710,985 5,132,956 2,566,478 1,283,239 3,849,718 1,924,859 5,774,578 2,887,289 8,661,868 4,330,934 2,165,467 6,496,402 3,248,201 9,744,604 4,872,302 2,436,151 7,308,454 3,654,227 10,962,682 5,481,341 16,444,024 8,222,012 4,111,006

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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