λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,352,192
8,352,192
26 × 3 × 41 × 1061
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 41 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 22,658,832
Proper Divisor Sum 14,306,640
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8352187 ← → #8352199

Radix Representation

Decimal 8352192
Binary 11111110111000111000000 (23 bits)
Octal 0o37670700
Hexadecimal 0x7F71C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1,061 1,312 1,968 2,122 2,624 3,183 3,936 4,244 6,366 7,872 8,488 12,732 16,976 25,464 33,952 43,501 50,928 67,904 87,002 101,856 130,503 174,004 203,712 261,006 348,008 522,012 696,016 1,044,024 1,392,032 2,088,048 2,784,064 4,176,096 8,352,192

Collatz Trajectory (80 steps to reach 1)

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

8,352,192 4,176,096 2,088,048 1,044,024 522,012 261,006 130,503 391,510 195,755 587,266 293,633 880,900 440,450 220,225 660,676 330,338 165,169 495,508 247,754 123,877 371,632 185,816 92,908 46,454 23,227 69,682 34,841 104,524 52,262 26,131 78,394 39,197 117,592 58,796 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472

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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