2 × 3² × 5² × 7 × 37 × 61

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7 × 37 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 22,787,232

Proper Divisor Sum 15,677,682

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7109527 ← → #7109551

Radix Representation

Decimal	7109550
Binary	11011000111101110101110 (23 bits)
Octal	0o33075656
Hexadecimal	0x6C7BAE

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 37 42 45 50 61 63 70 74 75 90 105 111 122 126 150 175 183 185 210 222 225 259 305 315 333 350 366 370 427 450 518 525 549 555 610 630 666 777 854 915 925 1,050 1,098 1,110 1,281

Collatz Trajectory (160 steps to reach 1)

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

7,109,550 3,554,775 10,664,326 5,332,163 15,996,490 7,998,245 23,994,736 11,997,368 5,998,684 2,999,342 1,499,671 4,499,014 2,249,507 6,748,522 3,374,261 10,122,784 5,061,392 2,530,696 1,265,348 632,674 316,337 949,012 474,506 237,253 711,760 355,880 177,940 88,970 44,485 133,456 66,728 33,364 16,682 8,341 25,024 12,512 6,256 3,128 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

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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