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Ratio Atlas
Atlas › Integer Profiles › Node 7,992,144
7,992,144
24 × 32 × 55501
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 55501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 22,367,306
Proper Divisor Sum 14,375,162
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7992143 ← → #7992181

Radix Representation

Decimal 7992144
Binary 11110011111001101010000 (23 bits)
Octal 0o36371520
Hexadecimal 0x79F350

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55,501 111,002 166,503 222,004 333,006 444,008 499,509 666,012 888,016 999,018 1,332,024 1,998,036 2,664,048 3,996,072 7,992,144

Collatz Trajectory (155 steps to reach 1)

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

7,992,144 3,996,072 1,998,036 999,018 499,509 1,498,528 749,264 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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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