2⁵ × 3² × 5 × 7 × 967

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 7 × 967

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 38,054,016

Proper Divisor Sum 28,306,656

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9747349 ← → #9747383

Radix Representation

Decimal	9747360
Binary	100101001011101110100000 (24 bits)
Octal	0o45135640
Hexadecimal	0x94BBA0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672

Collatz Trajectory (251 steps to reach 1)

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

9,747,360 4,873,680 2,436,840 1,218,420 609,210 304,605 913,816 456,908 228,454 114,227 342,682 171,341 514,024 257,012 128,506 64,253 192,760 96,380 48,190 24,095 72,286 36,143 108,430 54,215 162,646 81,323 243,970 121,985 365,956 182,978 91,489 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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