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Ratio Atlas
Atlas › Integer Profiles › Node 40,950
40,950
2 × 32 × 52 × 7 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 135,408
Proper Divisor Sum 94,458
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #40949 ← → #40961

Radix Representation

Decimal 40950
Binary 1001111111110110 (16 bits)
Octal 0o117766
Hexadecimal 0x9FF6

Divisor Catalog (60 of 72)

1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1,050 1,170 1,365 1,575 1,638 1,950

Collatz Trajectory (62 steps to reach 1)

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

40,950 20,475 61,426 30,713 92,140 46,070 23,035 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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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