λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,028,275
9,028,275
3 × 52 × 17 × 73 × 97
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 73 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,186,464
Proper Divisor Sum 7,158,189
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9028273 ← → #9028291

Radix Representation

Decimal 9028275
Binary 100010011100001010110011 (24 bits)
Octal 0o42341263
Hexadecimal 0x89C2B3

Divisor Catalog (48)

1 3 5 15 17 25 51 73 75 85 97 219 255 291 365 425 485 1,095 1,241 1,275 1,455 1,649 1,825 2,425 3,723 4,947 5,475 6,205 7,081 7,275 8,245 18,615 21,243 24,735 31,025 35,405 41,225 93,075 106,215 120,377 123,675 177,025 361,131 531,075 601,885 1,805,655 3,009,425 9,028,275

Collatz Trajectory (225 steps to reach 1)

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

9,028,275 27,084,826 13,542,413 40,627,240 20,313,620 10,156,810 5,078,405 15,235,216 7,617,608 3,808,804 1,904,402 952,201 2,856,604 1,428,302 714,151 2,142,454 1,071,227 3,213,682 1,606,841 4,820,524 2,410,262 1,205,131 3,615,394 1,807,697 5,423,092 2,711,546 1,355,773 4,067,320 2,033,660 1,016,830 508,415 1,525,246 762,623 2,287,870 1,143,935 3,431,806 1,715,903 5,147,710 2,573,855 7,721,566 3,860,783 11,582,350 5,791,175 17,373,526 8,686,763 26,060,290 13,030,145 39,090,436 19,545,218 9,772,609 29,317,828 14,658,914 7,329,457 21,988,372 10,994,186 5,497,093 16,491,280 8,245,640 4,122,820 2,061,410

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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