λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,024,306
8,024,306
2 × 17 × 53 × 61 × 73
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 53 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,378,608
Proper Divisor Sum 5,354,302
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8024293 ← → #8024321

Radix Representation

Decimal 8024306
Binary 11110100111000011110010 (23 bits)
Octal 0o36470362
Hexadecimal 0x7A70F2

Divisor Catalog (32)

1 2 17 34 53 61 73 106 122 146 901 1,037 1,241 1,802 2,074 2,482 3,233 3,869 4,453 6,466 7,738 8,906 54,961 65,773 75,701 109,922 131,546 151,402 236,009 472,018 4,012,153 8,024,306

Collatz Trajectory (155 steps to reach 1)

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

8,024,306 4,012,153 12,036,460 6,018,230 3,009,115 9,027,346 4,513,673 13,541,020 6,770,510 3,385,255 10,155,766 5,077,883 15,233,650 7,616,825 22,850,476 11,425,238 5,712,619 17,137,858 8,568,929 25,706,788 12,853,394 6,426,697 19,280,092 9,640,046 4,820,023 14,460,070 7,230,035 21,690,106 10,845,053 32,535,160 16,267,580 8,133,790 4,066,895 12,200,686 6,100,343 18,301,030 9,150,515 27,451,546 13,725,773 41,177,320 20,588,660 10,294,330 5,147,165 15,441,496 7,720,748 3,860,374 1,930,187 5,790,562 2,895,281 8,685,844 4,342,922 2,171,461 6,514,384 3,257,192 1,628,596 814,298 407,149 1,221,448 610,724 305,362

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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