2⁵ × 3³ × 17 × 31

Prime Factor Structure

Factorization String 2^5 × 3^3 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 996,192

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #455321 ← → #455333

Radix Representation

Decimal	455328
Binary	1101111001010100000 (19 bits)
Octal	0o1571240
Hexadecimal	0x6F2A0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 48 51 54 62 68 72 93 96 102 108 124 136 144 153 186 204 216 248 272 279 288 306 372 408 432 459 496 527 544 558 612 744 816 837 864 918 992 1,054 1,116 1,224 1,488 1,581 1,632

Collatz Trajectory (156 steps to reach 1)

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

455,328 227,664 113,832 56,916 28,458 14,229 42,688 21,344 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485

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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