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Ratio Atlas
Atlas › Integer Profiles › Node 54,072
54,072
23 × 32 × 751
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 146,640
Proper Divisor Sum 92,568
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #54059 ← → #54083

Radix Representation

Decimal 54072
Binary 1101001100111000 (16 bits)
Octal 0o151470
Hexadecimal 0xD338

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 751 1,502 2,253 3,004 4,506 6,008 6,759 9,012 13,518 18,024 27,036 54,072

Collatz Trajectory (65 steps to reach 1)

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

54,072 27,036 13,518 6,759 20,278 10,139 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10

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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