λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,306,529
8,306,529
3 × 72 × 112 × 467
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11^2 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,191,632
Proper Divisor Sum 5,885,103
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8306521 ← → #8306533

Radix Representation

Decimal 8306529
Binary 11111101011111101100001 (23 bits)
Octal 0o37537541
Hexadecimal 0x7EBF61

Divisor Catalog (36)

1 3 7 11 21 33 49 77 121 147 231 363 467 539 847 1,401 1,617 2,541 3,269 5,137 5,929 9,807 15,411 17,787 22,883 35,959 56,507 68,649 107,877 169,521 251,713 395,549 755,139 1,186,647 2,768,843 8,306,529

Collatz Trajectory (160 steps to reach 1)

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

8,306,529 24,919,588 12,459,794 6,229,897 18,689,692 9,344,846 4,672,423 14,017,270 7,008,635 21,025,906 10,512,953 31,538,860 15,769,430 7,884,715 23,654,146 11,827,073 35,481,220 17,740,610 8,870,305 26,610,916 13,305,458 6,652,729 19,958,188 9,979,094 4,989,547 14,968,642 7,484,321 22,452,964 11,226,482 5,613,241 16,839,724 8,419,862 4,209,931 12,629,794 6,314,897 18,944,692 9,472,346 4,736,173 14,208,520 7,104,260 3,552,130 1,776,065 5,328,196 2,664,098 1,332,049 3,996,148 1,998,074 999,037 2,997,112 1,498,556 749,278 374,639 1,123,918 561,959 1,685,878 842,939 2,528,818 1,264,409 3,793,228 1,896,614

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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