2⁹ × 3⁴ × 5 × 47

Prime Factor Structure

Factorization String 2^9 × 3^4 × 5 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 200

Divisor Sum (σ) 35,649,504

Proper Divisor Sum 25,903,584

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9745891 ← → #9745949

Radix Representation

Decimal	9745920
Binary	100101001011011000000000 (24 bits)
Octal	0o45133000
Hexadecimal	0x94B600

Divisor Catalog (60 of 200)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 47 48 54 60 64 72 80 81 90 94 96 108 120 128 135 141 144 160 162 180 188 192 216 235 240 256 270 282 288 320 324 360 376 384 405 423 432 470 480

Collatz Trajectory (101 steps to reach 1)

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

9,745,920 4,872,960 2,436,480 1,218,240 609,120 304,560 152,280 76,140 38,070 19,035 57,106 28,553 85,660 42,830 21,415 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287

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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