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Ratio Atlas
Atlas › Integer Profiles › Node 8,094,567
8,094,567
3 × 13 × 17 × 29 × 421
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 29 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,761,280
Proper Divisor Sum 4,666,713
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8094563 ← → #8094571

Radix Representation

Decimal 8094567
Binary 11110111000001101100111 (23 bits)
Octal 0o36701547
Hexadecimal 0x7B8367

Divisor Catalog (32)

1 3 13 17 29 39 51 87 221 377 421 493 663 1,131 1,263 1,479 5,473 6,409 7,157 12,209 16,419 19,227 21,471 36,627 93,041 158,717 207,553 279,123 476,151 622,659 2,698,189 8,094,567

Collatz Trajectory (217 steps to reach 1)

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

8,094,567 24,283,702 12,141,851 36,425,554 18,212,777 54,638,332 27,319,166 13,659,583 40,978,750 20,489,375 61,468,126 30,734,063 92,202,190 46,101,095 138,303,286 69,151,643 207,454,930 103,727,465 311,182,396 155,591,198 77,795,599 233,386,798 116,693,399 350,080,198 175,040,099 525,120,298 262,560,149 787,680,448 393,840,224 196,920,112 98,460,056 49,230,028 24,615,014 12,307,507 36,922,522 18,461,261 55,383,784 27,691,892 13,845,946 6,922,973 20,768,920 10,384,460 5,192,230 2,596,115 7,788,346 3,894,173 11,682,520 5,841,260 2,920,630 1,460,315 4,380,946 2,190,473 6,571,420 3,285,710 1,642,855 4,928,566 2,464,283 7,392,850 3,696,425 11,089,276

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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