λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,072,026
28,072,026
2 × 32 × 743 × 2099
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 743 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 60,933,600
Proper Divisor Sum 32,861,574
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28072021 ← → #28072039

Radix Representation

Decimal 28072026
Binary 1101011000101100001011010 (25 bits)
Octal 0o153054132
Hexadecimal 0x1AC585A

Divisor Catalog (24)

1 2 3 6 9 18 743 1,486 2,099 2,229 4,198 4,458 6,297 6,687 12,594 13,374 18,891 37,782 1,559,557 3,119,114 4,678,671 9,357,342 14,036,013 28,072,026

Collatz Trajectory (180 steps to reach 1)

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

28,072,026 14,036,013 42,108,040 21,054,020 10,527,010 5,263,505 15,790,516 7,895,258 3,947,629 11,842,888 5,921,444 2,960,722 1,480,361 4,441,084 2,220,542 1,110,271 3,330,814 1,665,407 4,996,222 2,498,111 7,494,334 3,747,167 11,241,502 5,620,751 16,862,254 8,431,127 25,293,382 12,646,691 37,940,074 18,970,037 56,910,112 28,455,056 14,227,528 7,113,764 3,556,882 1,778,441 5,335,324 2,667,662 1,333,831 4,001,494 2,000,747 6,002,242 3,001,121 9,003,364 4,501,682 2,250,841 6,752,524 3,376,262 1,688,131 5,064,394 2,532,197 7,596,592 3,798,296 1,899,148 949,574 474,787 1,424,362 712,181 2,136,544 1,068,272

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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