2⁵ × 11 × 223

Prime Factor Structure

Factorization String 2^5 × 11 × 223

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 169,344

Proper Divisor Sum 90,848

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #78487 ← → #78497

Radix Representation

Decimal	78496
Binary	10011001010100000 (17 bits)
Octal	0o231240
Hexadecimal	0x132A0

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 223 352 446 892 1,784 2,453 3,568 4,906 7,136 9,812 19,624 39,248 78,496

Collatz Trajectory (45 steps to reach 1)

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

78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 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 #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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