λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,982,008
8,982,008
23 × 7 × 107 × 1499
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 107 × 1499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,440,000
Proper Divisor Sum 10,457,992
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8982007 ← → #8982013

Radix Representation

Decimal 8982008
Binary 100010010000110111111000 (24 bits)
Octal 0o42206770
Hexadecimal 0x890DF8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 107 214 428 749 856 1,498 1,499 2,996 2,998 5,992 5,996 10,493 11,992 20,986 41,972 83,944 160,393 320,786 641,572 1,122,751 1,283,144 2,245,502 4,491,004 8,982,008

Collatz Trajectory (137 steps to reach 1)

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

8,982,008 4,491,004 2,245,502 1,122,751 3,368,254 1,684,127 5,052,382 2,526,191 7,578,574 3,789,287 11,367,862 5,683,931 17,051,794 8,525,897 25,577,692 12,788,846 6,394,423 19,183,270 9,591,635 28,774,906 14,387,453 43,162,360 21,581,180 10,790,590 5,395,295 16,185,886 8,092,943 24,278,830 12,139,415 36,418,246 18,209,123 54,627,370 27,313,685 81,941,056 40,970,528 20,485,264 10,242,632 5,121,316 2,560,658 1,280,329 3,840,988 1,920,494 960,247 2,880,742 1,440,371 4,321,114 2,160,557 6,481,672 3,240,836 1,620,418 810,209 2,430,628 1,215,314 607,657 1,822,972 911,486 455,743 1,367,230 683,615 2,050,846

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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