2³ × 3² × 7 × 23 × 61

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 23 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,321,280

Proper Divisor Sum 1,614,168

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #707111 ← → #707117

Radix Representation

Decimal	707112
Binary	10101100101000101000 (20 bits)
Octal	0o2545050
Hexadecimal	0xACA28

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 61 63 69 72 84 92 122 126 138 161 168 183 184 207 244 252 276 322 366 414 427 483 488 504 549 552 644 732 828 854 966 1,098 1,281 1,288 1,403 1,449 1,464 1,656 1,708 1,932 2,196

Collatz Trajectory (74 steps to reach 1)

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

707,112 353,556 176,778 88,389 265,168 132,584 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22

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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