λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,584,305
97,584,305
5 × 7 × 13 × 41 × 5231
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13 × 41 × 5231
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 147,667,968
Proper Divisor Sum 50,083,663
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #97584287 ← → #97584337

Radix Representation

Decimal 97584305
Binary 101110100010000010010110001 (27 bits)
Octal 0o564202261
Hexadecimal 0x5D104B1

Divisor Catalog (32)

1 5 7 13 35 41 65 91 205 287 455 533 1,435 2,665 3,731 5,231 18,655 26,155 36,617 68,003 183,085 214,471 340,015 476,021 1,072,355 1,501,297 2,380,105 2,788,123 7,506,485 13,940,615 19,516,861 97,584,305

Collatz Trajectory (293 steps to reach 1)

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

97,584,305 292,752,916 146,376,458 73,188,229 219,564,688 109,782,344 54,891,172 27,445,586 13,722,793 41,168,380 20,584,190 10,292,095 30,876,286 15,438,143 46,314,430 23,157,215 69,471,646 34,735,823 104,207,470 52,103,735 156,311,206 78,155,603 234,466,810 117,233,405 351,700,216 175,850,108 87,925,054 43,962,527 131,887,582 65,943,791 197,831,374 98,915,687 296,747,062 148,373,531 445,120,594 222,560,297 667,680,892 333,840,446 166,920,223 500,760,670 250,380,335 751,141,006 375,570,503 1,126,711,510 563,355,755 1,690,067,266 845,033,633 2,535,100,900 1,267,550,450 633,775,225 1,901,325,676 950,662,838 475,331,419 1,425,994,258 712,997,129 2,138,991,388 1,069,495,694 534,747,847 1,604,243,542 802,121,771

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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