2³ × 3⁷ × 11 × 37

Prime Factor Structure

Factorization String 2^3 × 3^7 × 11 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,435,200

Proper Divisor Sum 15,314,328

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7120871 ← → #7120873

Radix Representation

Decimal	7120872
Binary	11011001010011111101000 (23 bits)
Octal	0o33123750
Hexadecimal	0x6CA7E8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 81 88 99 108 111 132 148 162 198 216 222 243 264 296 297 324 333 396 407 444 486 594 648 666 729 792 814 888 891 972 999 1,188 1,221 1,332 1,458 1,628 1,782 1,944 1,998

Collatz Trajectory (160 steps to reach 1)

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

7,120,872 3,560,436 1,780,218 890,109 2,670,328 1,335,164 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464 2,534,732 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641 1,141,924 570,962 285,481 856,444 428,222 214,111 642,334 321,167 963,502 481,751 1,445,254 722,627 2,167,882 1,083,941 3,251,824 1,625,912

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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