λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,640,975
8,640,975
3 × 52 × 7 × 109 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 109 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,586,240
Proper Divisor Sum 7,945,265
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8640967 ← → #8640977

Radix Representation

Decimal 8640975
Binary 100000111101100111001111 (24 bits)
Octal 0o40754717
Hexadecimal 0x83D9CF

Divisor Catalog (48)

1 3 5 7 15 21 25 35 75 105 109 151 175 327 453 525 545 755 763 1,057 1,635 2,265 2,289 2,725 3,171 3,775 3,815 5,285 8,175 11,325 11,445 15,855 16,459 19,075 26,425 49,377 57,225 79,275 82,295 115,213 246,885 345,639 411,475 576,065 1,234,425 1,728,195 2,880,325 8,640,975

Collatz Trajectory (199 steps to reach 1)

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

8,640,975 25,922,926 12,961,463 38,884,390 19,442,195 58,326,586 29,163,293 87,489,880 43,744,940 21,872,470 10,936,235 32,808,706 16,404,353 49,213,060 24,606,530 12,303,265 36,909,796 18,454,898 9,227,449 27,682,348 13,841,174 6,920,587 20,761,762 10,380,881 31,142,644 15,571,322 7,785,661 23,356,984 11,678,492 5,839,246 2,919,623 8,758,870 4,379,435 13,138,306 6,569,153 19,707,460 9,853,730 4,926,865 14,780,596 7,390,298 3,695,149 11,085,448 5,542,724 2,771,362 1,385,681 4,157,044 2,078,522 1,039,261 3,117,784 1,558,892 779,446 389,723 1,169,170 584,585 1,753,756 876,878 438,439 1,315,318 657,659 1,972,978

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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