λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,097,495
8,097,495
3 × 5 × 72 × 23 × 479
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 23 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,759,360
Proper Divisor Sum 7,661,865
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8097493 ← → #8097517

Radix Representation

Decimal 8097495
Binary 11110111000111011010111 (23 bits)
Octal 0o36707327
Hexadecimal 0x7B8ED7

Divisor Catalog (48)

1 3 5 7 15 21 23 35 49 69 105 115 147 161 245 345 479 483 735 805 1,127 1,437 2,395 2,415 3,353 3,381 5,635 7,185 10,059 11,017 16,765 16,905 23,471 33,051 50,295 55,085 70,413 77,119 117,355 165,255 231,357 352,065 385,595 539,833 1,156,785 1,619,499 2,699,165 8,097,495

Collatz Trajectory (142 steps to reach 1)

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

8,097,495 24,292,486 12,146,243 36,438,730 18,219,365 54,658,096 27,329,048 13,664,524 6,832,262 3,416,131 10,248,394 5,124,197 15,372,592 7,686,296 3,843,148 1,921,574 960,787 2,882,362 1,441,181 4,323,544 2,161,772 1,080,886 540,443 1,621,330 810,665 2,431,996 1,215,998 607,999 1,823,998 911,999 2,735,998 1,367,999 4,103,998 2,051,999 6,155,998 3,077,999 9,233,998 4,616,999 13,850,998 6,925,499 20,776,498 10,388,249 31,164,748 15,582,374 7,791,187 23,373,562 11,686,781 35,060,344 17,530,172 8,765,086 4,382,543 13,147,630 6,573,815 19,721,446 9,860,723 29,582,170 14,791,085 44,373,256 22,186,628 11,093,314

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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