λ
Ratio Atlas
Atlas › Integer Profiles › Node 91,968,261
91,968,261
3 × 7 × 11 × 359 × 1109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 359 × 1109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 153,446,400
Proper Divisor Sum 61,478,139
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #91968259 ← → #91968281

Radix Representation

Decimal 91968261
Binary 101011110110101001100000101 (27 bits)
Octal 0o536651405
Hexadecimal 0x57B5305

Divisor Catalog (32)

1 3 7 11 21 33 77 231 359 1,077 1,109 2,513 3,327 3,949 7,539 7,763 11,847 12,199 23,289 27,643 36,597 82,929 85,393 256,179 398,131 1,194,393 2,786,917 4,379,441 8,360,751 13,138,323 30,656,087 91,968,261

Collatz Trajectory (130 steps to reach 1)

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

91,968,261 275,904,784 137,952,392 68,976,196 34,488,098 17,244,049 51,732,148 25,866,074 12,933,037 38,799,112 19,399,556 9,699,778 4,849,889 14,549,668 7,274,834 3,637,417 10,912,252 5,456,126 2,728,063 8,184,190 4,092,095 12,276,286 6,138,143 18,414,430 9,207,215 27,621,646 13,810,823 41,432,470 20,716,235 62,148,706 31,074,353 93,223,060 46,611,530 23,305,765 69,917,296 34,958,648 17,479,324 8,739,662 4,369,831 13,109,494 6,554,747 19,664,242 9,832,121 29,496,364 14,748,182 7,374,091 22,122,274 11,061,137 33,183,412 16,591,706 8,295,853 24,887,560 12,443,780 6,221,890 3,110,945 9,332,836 4,666,418 2,333,209 6,999,628 3,499,814

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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