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Ratio Atlas
Atlas › Integer Profiles › Node 96,820,191
96,820,191
35 × 13 × 30649
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 13 × 30649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 156,192,400
Proper Divisor Sum 59,372,209
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #96820153 ← → #96820193

Radix Representation

Decimal 96820191
Binary 101110001010101101111011111 (27 bits)
Octal 0o561255737
Hexadecimal 0x5C55BDF

Divisor Catalog (24)

1 3 9 13 27 39 81 117 243 351 1,053 3,159 30,649 91,947 275,841 398,437 827,523 1,195,311 2,482,569 3,585,933 7,447,707 10,757,799 32,273,397 96,820,191

Collatz Trajectory (187 steps to reach 1)

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

96,820,191 290,460,574 145,230,287 435,690,862 217,845,431 653,536,294 326,768,147 980,304,442 490,152,221 1,470,456,664 735,228,332 367,614,166 183,807,083 551,421,250 275,710,625 827,131,876 413,565,938 206,782,969 620,348,908 310,174,454 155,087,227 465,261,682 232,630,841 697,892,524 348,946,262 174,473,131 523,419,394 261,709,697 785,129,092 392,564,546 196,282,273 588,846,820 294,423,410 147,211,705 441,635,116 220,817,558 110,408,779 331,226,338 165,613,169 496,839,508 248,419,754 124,209,877 372,629,632 186,314,816 93,157,408 46,578,704 23,289,352 11,644,676 5,822,338 2,911,169 8,733,508 4,366,754 2,183,377 6,550,132 3,275,066 1,637,533 4,912,600 2,456,300 1,228,150 614,075

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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