2² × 3⁴ × 7 × 37 × 61

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 37 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,964,256

Proper Divisor Sum 10,845,380

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5118871 ← → #5118881

Radix Representation

Decimal	5118876
Binary	10011100001101110011100 (23 bits)
Octal	0o23415634
Hexadecimal	0x4E1B9C

Divisor Catalog (60 of 120)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 61 63 74 81 84 108 111 122 126 148 162 183 189 222 244 252 259 324 333 366 378 427 444 518 549 567 666 732 756 777 854 999 1,036 1,098 1,134 1,281 1,332 1,554 1,647 1,708 1,998 2,196 2,257

Collatz Trajectory (219 steps to reach 1)

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

5,118,876 2,559,438 1,279,719 3,839,158 1,919,579 5,758,738 2,879,369 8,638,108 4,319,054 2,159,527 6,478,582 3,239,291 9,717,874 4,858,937 14,576,812 7,288,406 3,644,203 10,932,610 5,466,305 16,398,916 8,199,458 4,099,729 12,299,188 6,149,594 3,074,797 9,224,392 4,612,196 2,306,098 1,153,049 3,459,148 1,729,574 864,787 2,594,362 1,297,181 3,891,544 1,945,772 972,886 486,443 1,459,330 729,665 2,188,996 1,094,498 547,249 1,641,748 820,874 410,437 1,231,312 615,656 307,828 153,914 76,957 230,872 115,436 57,718 28,859 86,578 43,289 129,868 64,934 32,467

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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