2⁷ × 3² × 13 × 31

Prime Factor Structure

Factorization String 2^7 × 3^2 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,485,120

Proper Divisor Sum 1,020,864

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #464251 ← → #464257

Radix Representation

Decimal	464256
Binary	1110001010110000000 (19 bits)
Octal	0o1612600
Hexadecimal	0x71580

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 186 192 208 234 248 279 288 312 372 384 403 416 468 496 558 576 624 744 806 832 936 992 1,116 1,152 1,209 1,248 1,488 1,612 1,664

Collatz Trajectory (63 steps to reach 1)

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

464,256 232,128 116,064 58,032 29,016 14,508 7,254 3,627 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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