2³ × 3 × 7 × 19 × 23 × 97

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 19 × 23 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,579,200

Proper Divisor Sum 15,457,848

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7121347 ← → #7121357

Radix Representation

Decimal	7121352
Binary	11011001010100111001000 (23 bits)
Octal	0o33124710
Hexadecimal	0x6CA9C8

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 97 114 133 138 152 161 168 184 194 228 266 276 291 322 388 399 437 456 483 532 552 582 644 679 776 798 874 966 1,064 1,164 1,288 1,311 1,358 1,596 1,748 1,843 1,932

Collatz Trajectory (173 steps to reach 1)

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

7,121,352 3,560,676 1,780,338 890,169 2,670,508 1,335,254 667,627 2,002,882 1,001,441 3,004,324 1,502,162 751,081 2,253,244 1,126,622 563,311 1,689,934 844,967 2,534,902 1,267,451 3,802,354 1,901,177 5,703,532 2,851,766 1,425,883 4,277,650 2,138,825 6,416,476 3,208,238 1,604,119 4,812,358 2,406,179 7,218,538 3,609,269 10,827,808 5,413,904 2,706,952 1,353,476 676,738 338,369 1,015,108 507,554 253,777 761,332 380,666 190,333 571,000 285,500 142,750 71,375 214,126 107,063 321,190 160,595 481,786 240,893 722,680 361,340 180,670 90,335 271,006

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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