2⁵ × 3² × 7 × 107

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 707,616

Proper Divisor Sum 491,904

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #215693 ← → #215723

Radix Representation

Decimal	215712
Binary	110100101010100000 (18 bits)
Octal	0o645240
Hexadecimal	0x34AA0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 672 749 856 963 1,008 1,284 1,498 1,712 1,926 2,016 2,247 2,568 2,996 3,424 3,852 4,494 5,136 5,992 6,741 7,704 8,988 10,272

Collatz Trajectory (49 steps to reach 1)

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

215,712 107,856 53,928 26,964 13,482 6,741 20,224 10,112 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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