2⁴ × 3⁴ × 19 × 31

Prime Factor Structure

Factorization String 2^4 × 3^4 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 2,400,640

Proper Divisor Sum 1,637,296

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #763339 ← → #763349

Radix Representation

Decimal	763344
Binary	10111010010111010000 (20 bits)
Octal	0o2722720
Hexadecimal	0xBA5D0

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 81 93 108 114 124 144 152 162 171 186 216 228 248 279 304 324 342 372 432 456 496 513 558 589 648 684 744 837 912 1,026 1,116 1,178 1,296 1,368 1,488 1,539 1,674 1,767

Collatz Trajectory (56 steps to reach 1)

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

763,344 381,672 190,836 95,418 47,709 143,128 71,564 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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