λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,987,465
6,987,465
39 × 5 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^9 × 5 × 71
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,754,368
Proper Divisor Sum 5,766,903
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6987451 ← → #6987473

Radix Representation

Decimal 6987465
Binary 11010101001111011001001 (23 bits)
Octal 0o32517311
Hexadecimal 0x6A9EC9

Divisor Catalog (40)

1 3 5 9 15 27 45 71 81 135 213 243 355 405 639 729 1,065 1,215 1,917 2,187 3,195 3,645 5,751 6,561 9,585 10,935 17,253 19,683 28,755 32,805 51,759 86,265 98,415 155,277 258,795 465,831 776,385 1,397,493 2,329,155 6,987,465

Collatz Trajectory (191 steps to reach 1)

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

6,987,465 20,962,396 10,481,198 5,240,599 15,721,798 7,860,899 23,582,698 11,791,349 35,374,048 17,687,024 8,843,512 4,421,756 2,210,878 1,105,439 3,316,318 1,658,159 4,974,478 2,487,239 7,461,718 3,730,859 11,192,578 5,596,289 16,788,868 8,394,434 4,197,217 12,591,652 6,295,826 3,147,913 9,443,740 4,721,870 2,360,935 7,082,806 3,541,403 10,624,210 5,312,105 15,936,316 7,968,158 3,984,079 11,952,238 5,976,119 17,928,358 8,964,179 26,892,538 13,446,269 40,338,808 20,169,404 10,084,702 5,042,351 15,127,054 7,563,527 22,690,582 11,345,291 34,035,874 17,017,937 51,053,812 25,526,906 12,763,453 38,290,360 19,145,180 9,572,590

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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