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Ratio Atlas
Atlas › Integer Profiles › Node 36,927,657
36,927,657
34 × 13 × 35069
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13 × 35069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 59,408,580
Proper Divisor Sum 22,480,923
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36927641 ← → #36927661

Radix Representation

Decimal 36927657
Binary 10001100110111100010101001 (26 bits)
Octal 0o214674251
Hexadecimal 0x23378A9

Divisor Catalog (20)

1 3 9 13 27 39 81 117 351 1,053 35,069 105,207 315,621 455,897 946,863 1,367,691 2,840,589 4,103,073 12,309,219 36,927,657

Collatz Trajectory (271 steps to reach 1)

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

36,927,657 110,782,972 55,391,486 27,695,743 83,087,230 41,543,615 124,630,846 62,315,423 186,946,270 93,473,135 280,419,406 140,209,703 420,629,110 210,314,555 630,943,666 315,471,833 946,415,500 473,207,750 236,603,875 709,811,626 354,905,813 1,064,717,440 532,358,720 266,179,360 133,089,680 66,544,840 33,272,420 16,636,210 8,318,105 24,954,316 12,477,158 6,238,579 18,715,738 9,357,869 28,073,608 14,036,804 7,018,402 3,509,201 10,527,604 5,263,802 2,631,901 7,895,704 3,947,852 1,973,926 986,963 2,960,890 1,480,445 4,441,336 2,220,668 1,110,334 555,167 1,665,502 832,751 2,498,254 1,249,127 3,747,382 1,873,691 5,621,074 2,810,537 8,431,612

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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