λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,965,698
36,965,698
2 × 72 × 11 × 53 × 647
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 53 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,803,584
Proper Divisor Sum 34,837,886
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #36965639 ← → #36965717

Radix Representation

Decimal 36965698
Binary 10001101000000110101000010 (26 bits)
Octal 0o215006502
Hexadecimal 0x2340D42

Divisor Catalog (48)

1 2 7 11 14 22 49 53 77 98 106 154 371 539 583 647 742 1,078 1,166 1,294 2,597 4,081 4,529 5,194 7,117 8,162 9,058 14,234 28,567 31,703 34,291 49,819 57,134 63,406 68,582 99,638 240,037 348,733 377,201 480,074 697,466 754,402 1,680,259 2,640,407 3,360,518 5,280,814 18,482,849 36,965,698

Collatz Trajectory (408 steps to reach 1)

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

36,965,698 18,482,849 55,448,548 27,724,274 13,862,137 41,586,412 20,793,206 10,396,603 31,189,810 15,594,905 46,784,716 23,392,358 11,696,179 35,088,538 17,544,269 52,632,808 26,316,404 13,158,202 6,579,101 19,737,304 9,868,652 4,934,326 2,467,163 7,401,490 3,700,745 11,102,236 5,551,118 2,775,559 8,326,678 4,163,339 12,490,018 6,245,009 18,735,028 9,367,514 4,683,757 14,051,272 7,025,636 3,512,818 1,756,409 5,269,228 2,634,614 1,317,307 3,951,922 1,975,961 5,927,884 2,963,942 1,481,971 4,445,914 2,222,957 6,668,872 3,334,436 1,667,218 833,609 2,500,828 1,250,414 625,207 1,875,622 937,811 2,813,434 1,406,717

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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