λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,000,320
8,000,320
26 × 5 × 23 × 1087
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 23 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 19,897,344
Proper Divisor Sum 11,897,024
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #8000309 ← → #8000323

Radix Representation

Decimal 8000320
Binary 11110100001001101000000 (23 bits)
Octal 0o36411500
Hexadecimal 0x7A1340

Divisor Catalog (56)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1,087 1,472 1,840 2,174 3,680 4,348 5,435 7,360 8,696 10,870 17,392 21,740 25,001 34,784 43,480 50,002 69,568 86,960 100,004 125,005 173,920 200,008 250,010 347,840 400,016 500,020 800,032 1,000,040 1,600,064 2,000,080 4,000,160 8,000,320

Collatz Trajectory (155 steps to reach 1)

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

8,000,320 4,000,160 2,000,080 1,000,040 500,020 250,010 125,005 375,016 187,508 93,754 46,877 140,632 70,316 35,158 17,579 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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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