λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,000,795
8,000,795
5 × 11 × 17 × 43 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 17 × 43 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,404,800
Proper Divisor Sum 3,404,005
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8000791 ← → #8000801

Radix Representation

Decimal 8000795
Binary 11110100001010100011011 (23 bits)
Octal 0o36412433
Hexadecimal 0x7A151B

Divisor Catalog (32)

1 5 11 17 43 55 85 187 199 215 473 731 935 995 2,189 2,365 3,383 3,655 8,041 8,557 10,945 16,915 37,213 40,205 42,785 94,127 145,469 186,065 470,635 727,345 1,600,159 8,000,795

Collatz Trajectory (173 steps to reach 1)

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

8,000,795 24,002,386 12,001,193 36,003,580 18,001,790 9,000,895 27,002,686 13,501,343 40,504,030 20,252,015 60,756,046 30,378,023 91,134,070 45,567,035 136,701,106 68,350,553 205,051,660 102,525,830 51,262,915 153,788,746 76,894,373 230,683,120 115,341,560 57,670,780 28,835,390 14,417,695 43,253,086 21,626,543 64,879,630 32,439,815 97,319,446 48,659,723 145,979,170 72,989,585 218,968,756 109,484,378 54,742,189 164,226,568 82,113,284 41,056,642 20,528,321 61,584,964 30,792,482 15,396,241 46,188,724 23,094,362 11,547,181 34,641,544 17,320,772 8,660,386 4,330,193 12,990,580 6,495,290 3,247,645 9,742,936 4,871,468 2,435,734 1,217,867 3,653,602 1,826,801

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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