λ
Ratio Atlas
Atlas › Integer Profiles › Node 90,831,442
90,831,442
2 × 13 × 17 × 89 × 2309
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17 × 89 × 2309
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 157,172,400
Proper Divisor Sum 66,340,958
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #90831427 ← → #90831449

Radix Representation

Decimal 90831442
Binary 101011010011111101001010010 (27 bits)
Octal 0o532375122
Hexadecimal 0x569FA52

Divisor Catalog (32)

1 2 13 17 26 34 89 178 221 442 1,157 1,513 2,309 2,314 3,026 4,618 19,669 30,017 39,253 39,338 60,034 78,506 205,501 411,002 510,289 1,020,578 2,671,513 3,493,517 5,343,026 6,987,034 45,415,721 90,831,442

Collatz Trajectory (342 steps to reach 1)

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

90,831,442 45,415,721 136,247,164 68,123,582 34,061,791 102,185,374 51,092,687 153,278,062 76,639,031 229,917,094 114,958,547 344,875,642 172,437,821 517,313,464 258,656,732 129,328,366 64,664,183 193,992,550 96,996,275 290,988,826 145,494,413 436,483,240 218,241,620 109,120,810 54,560,405 163,681,216 81,840,608 40,920,304 20,460,152 10,230,076 5,115,038 2,557,519 7,672,558 3,836,279 11,508,838 5,754,419 17,263,258 8,631,629 25,894,888 12,947,444 6,473,722 3,236,861 9,710,584 4,855,292 2,427,646 1,213,823 3,641,470 1,820,735 5,462,206 2,731,103 8,193,310 4,096,655 12,289,966 6,144,983 18,434,950 9,217,475 27,652,426 13,826,213 41,478,640 20,739,320

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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