λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,537,202
35,537,202
2 × 32 × 67 × 79 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 67 × 79 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,347,840
Proper Divisor Sum 43,810,638
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #35537179 ← → #35537213

Radix Representation

Decimal 35537202
Binary 10000111100100000100110010 (26 bits)
Octal 0o207440462
Hexadecimal 0x21E4132

Divisor Catalog (48)

1 2 3 6 9 18 67 79 134 158 201 237 373 402 474 603 711 746 1,119 1,206 1,422 2,238 3,357 5,293 6,714 10,586 15,879 24,991 29,467 31,758 47,637 49,982 58,934 74,973 88,401 95,274 149,946 176,802 224,919 265,203 449,838 530,406 1,974,289 3,948,578 5,922,867 11,845,734 17,768,601 35,537,202

Collatz Trajectory (183 steps to reach 1)

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

35,537,202 17,768,601 53,305,804 26,652,902 13,326,451 39,979,354 19,989,677 59,969,032 29,984,516 14,992,258 7,496,129 22,488,388 11,244,194 5,622,097 16,866,292 8,433,146 4,216,573 12,649,720 6,324,860 3,162,430 1,581,215 4,743,646 2,371,823 7,115,470 3,557,735 10,673,206 5,336,603 16,009,810 8,004,905 24,014,716 12,007,358 6,003,679 18,011,038 9,005,519 27,016,558 13,508,279 40,524,838 20,262,419 60,787,258 30,393,629 91,180,888 45,590,444 22,795,222 11,397,611 34,192,834 17,096,417 51,289,252 25,644,626 12,822,313 38,466,940 19,233,470 9,616,735 28,850,206 14,425,103 43,275,310 21,637,655 64,912,966 32,456,483 97,369,450 48,684,725

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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