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Ratio Atlas
Atlas › Integer Profiles › Node 37,950
37,950
2 × 3 × 52 × 11 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,136
Proper Divisor Sum 69,186
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #37907 ← → #37951

Radix Representation

Decimal 37950
Binary 1001010000111110 (16 bits)
Octal 0o112076
Hexadecimal 0x943E

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 138 150 165 230 253 275 330 345 506 550 575 690 759 825 1,150 1,265 1,518 1,650 1,725 2,530 3,450 3,795 6,325 7,590 12,650 18,975 37,950

Collatz Trajectory (54 steps to reach 1)

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

37,950 18,975 56,926 28,463 85,390 42,695 128,086 64,043 192,130 96,065 288,196 144,098 72,049 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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