λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,340,982
8,340,982
2 × 13 × 17 × 113 × 167
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17 × 113 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,478,912
Proper Divisor Sum 6,137,930
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8340977 ← → #8340989

Radix Representation

Decimal 8340982
Binary 11111110100010111110110 (23 bits)
Octal 0o37642766
Hexadecimal 0x7F45F6

Divisor Catalog (32)

1 2 13 17 26 34 113 167 221 226 334 442 1,469 1,921 2,171 2,839 2,938 3,842 4,342 5,678 18,871 24,973 36,907 37,742 49,946 73,814 245,323 320,807 490,646 641,614 4,170,491 8,340,982

Collatz Trajectory (186 steps to reach 1)

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

8,340,982 4,170,491 12,511,474 6,255,737 18,767,212 9,383,606 4,691,803 14,075,410 7,037,705 21,113,116 10,556,558 5,278,279 15,834,838 7,917,419 23,752,258 11,876,129 35,628,388 17,814,194 8,907,097 26,721,292 13,360,646 6,680,323 20,040,970 10,020,485 30,061,456 15,030,728 7,515,364 3,757,682 1,878,841 5,636,524 2,818,262 1,409,131 4,227,394 2,113,697 6,341,092 3,170,546 1,585,273 4,755,820 2,377,910 1,188,955 3,566,866 1,783,433 5,350,300 2,675,150 1,337,575 4,012,726 2,006,363 6,019,090 3,009,545 9,028,636 4,514,318 2,257,159 6,771,478 3,385,739 10,157,218 5,078,609 15,235,828 7,617,914 3,808,957 11,426,872

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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