λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,512,090
28,512,090
2 × 32 × 5 × 316801
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 316801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,131,668
Proper Divisor Sum 45,619,578
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28512073 ← → #28512091

Radix Representation

Decimal 28512090
Binary 1101100110000111101011010 (25 bits)
Octal 0o154607532
Hexadecimal 0x1B30F5A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 316,801 633,602 950,403 1,584,005 1,900,806 2,851,209 3,168,010 4,752,015 5,702,418 9,504,030 14,256,045 28,512,090

Collatz Trajectory (123 steps to reach 1)

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

28,512,090 14,256,045 42,768,136 21,384,068 10,692,034 5,346,017 16,038,052 8,019,026 4,009,513 12,028,540 6,014,270 3,007,135 9,021,406 4,510,703 13,532,110 6,766,055 20,298,166 10,149,083 30,447,250 15,223,625 45,670,876 22,835,438 11,417,719 34,253,158 17,126,579 51,379,738 25,689,869 77,069,608 38,534,804 19,267,402 9,633,701 28,901,104 14,450,552 7,225,276 3,612,638 1,806,319 5,418,958 2,709,479 8,128,438 4,064,219 12,192,658 6,096,329 18,288,988 9,144,494 4,572,247 13,716,742 6,858,371 20,575,114 10,287,557 30,862,672 15,431,336 7,715,668 3,857,834 1,928,917 5,786,752 2,893,376 1,446,688 723,344 361,672 180,836

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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