2² × 3³ × 5² × 41

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 364,560

Proper Divisor Sum 253,860

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #110681 ← → #110711

Radix Representation

Decimal	110700
Binary	11011000001101100 (17 bits)
Octal	0o330154
Hexadecimal	0x1B06C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 41 45 50 54 60 75 82 90 100 108 123 135 150 164 180 205 225 246 270 300 369 410 450 492 540 615 675 738 820 900 1,025 1,107 1,230 1,350 1,476 1,845 2,050 2,214 2,460 2,700 3,075 3,690 4,100 4,428

Collatz Trajectory (141 steps to reach 1)

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

110,700 55,350 27,675 83,026 41,513 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216

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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