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Ratio Atlas
Atlas › Integer Profiles › Node 8,097,003
8,097,003
36 × 29 × 383
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 29 × 383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 12,591,360
Proper Divisor Sum 4,494,357
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8096999 ← → #8097007

Radix Representation

Decimal 8097003
Binary 11110111000110011101011 (23 bits)
Octal 0o36706353
Hexadecimal 0x7B8CEB

Divisor Catalog (28)

1 3 9 27 29 81 87 243 261 383 729 783 1,149 2,349 3,447 7,047 10,341 11,107 21,141 31,023 33,321 93,069 99,963 279,207 299,889 899,667 2,699,001 8,097,003

Collatz Trajectory (142 steps to reach 1)

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

8,097,003 24,291,010 12,145,505 36,436,516 18,218,258 9,109,129 27,327,388 13,663,694 6,831,847 20,495,542 10,247,771 30,743,314 15,371,657 46,114,972 23,057,486 11,528,743 34,586,230 17,293,115 51,879,346 25,939,673 77,819,020 38,909,510 19,454,755 58,364,266 29,182,133 87,546,400 43,773,200 21,886,600 10,943,300 5,471,650 2,735,825 8,207,476 4,103,738 2,051,869 6,155,608 3,077,804 1,538,902 769,451 2,308,354 1,154,177 3,462,532 1,731,266 865,633 2,596,900 1,298,450 649,225 1,947,676 973,838 486,919 1,460,758 730,379 2,191,138 1,095,569 3,286,708 1,643,354 821,677 2,465,032 1,232,516 616,258 308,129

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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