2³ × 3² × 11² × 13

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 363,090

Proper Divisor Sum 249,834

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #113233 ← → #113279

Radix Representation

Decimal	113256
Binary	11011101001101000 (17 bits)
Octal	0o335150
Hexadecimal	0x1BA68

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 121 132 143 156 198 234 242 264 286 312 363 396 429 468 484 572 726 792 858 936 968 1,089 1,144 1,287 1,452 1,573 1,716 2,178 2,574 2,904 3,146 3,432 4,356 4,719

Collatz Trajectory (61 steps to reach 1)

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

113,256 56,628 28,314 14,157 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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