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Ratio Atlas
Atlas › Integer Profiles › Node 72,048
72,048
24 × 3 × 19 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 198,400
Proper Divisor Sum 126,352
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #72047 ← → #72053

Radix Representation

Decimal 72048
Binary 10001100101110000 (17 bits)
Octal 0o214560
Hexadecimal 0x11970

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1,264 1,501 1,896 3,002 3,792 4,503 6,004 9,006 12,008 18,012 24,016 36,024 72,048

Collatz Trajectory (42 steps to reach 1)

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

72,048 36,024 18,012 9,006 4,503 13,510 6,755 20,266 10,133 30,400 15,200 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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