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9,705,600

27 × 32 × 52 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5^2 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 34,734,570
Proper Divisor Sum 25,028,970
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9705541 ← → #9705601

Radix Representation

Decimal 9705600
Binary 100101000001100010000000 (24 bits)
Octal 0o45014200
Hexadecimal 0x941880

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 337 360 384 400 450 480 576 600 640 674 720 800 900 960 1,011 1,152

Collatz Trajectory (70 steps to reach 1)

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

9,705,600 4,852,800 2,426,400 1,213,200 606,600 303,300 151,650 75,825 227,476 113,738 56,869 170,608 85,304 42,652 21,326 10,663 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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