λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,802,470
36,802,470
2 × 3 × 5 × 383 × 3203
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 383 × 3203
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,584,192
Proper Divisor Sum 51,781,722
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36802429 ← → #36802471

Radix Representation

Decimal 36802470
Binary 10001100011000111110100110 (26 bits)
Octal 0o214307646
Hexadecimal 0x2318FA6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 383 766 1,149 1,915 2,298 3,203 3,830 5,745 6,406 9,609 11,490 16,015 19,218 32,030 48,045 96,090 1,226,749 2,453,498 3,680,247 6,133,745 7,360,494 12,267,490 18,401,235 36,802,470

Collatz Trajectory (165 steps to reach 1)

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

36,802,470 18,401,235 55,203,706 27,601,853 82,805,560 41,402,780 20,701,390 10,350,695 31,052,086 15,526,043 46,578,130 23,289,065 69,867,196 34,933,598 17,466,799 52,400,398 26,200,199 78,600,598 39,300,299 117,900,898 58,950,449 176,851,348 88,425,674 44,212,837 132,638,512 66,319,256 33,159,628 16,579,814 8,289,907 24,869,722 12,434,861 37,304,584 18,652,292 9,326,146 4,663,073 13,989,220 6,994,610 3,497,305 10,491,916 5,245,958 2,622,979 7,868,938 3,934,469 11,803,408 5,901,704 2,950,852 1,475,426 737,713 2,213,140 1,106,570 553,285 1,659,856 829,928 414,964 207,482 103,741 311,224 155,612 77,806 38,903

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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