2⁹ × 13 × 19

Prime Factor Structure

Factorization String 2^9 × 13 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 286,440

Proper Divisor Sum 159,976

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #126461 ← → #126473

Radix Representation

Decimal	126464
Binary	11110111000000000 (17 bits)
Octal	0o367000
Hexadecimal	0x1EE00

Divisor Catalog (40)

1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 512 608 832 988 1,216 1,664 1,976 2,432 3,328 3,952 4,864 6,656 7,904 9,728 15,808 31,616 63,232 126,464

Collatz Trajectory (56 steps to reach 1)

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

126,464 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 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 #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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