648,000

2⁶ × 3⁴ × 5³

Prime Factor Structure

Factorization String 2^6 × 3^4 × 5^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 140

Divisor Sum (σ) 2,397,252

Proper Divisor Sum 1,749,252

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #647987 ← → #648007

Radix Representation

Decimal	648000
Binary	10011110001101000000 (20 bits)
Octal	0o2361500
Hexadecimal	0x9E340

Divisor Catalog (60 of 140)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 135 144 150 160 162 180 192 200 216 225 240 250 270 288 300 320 324 360 375 400 405 432 450

Collatz Trajectory (48 steps to reach 1)

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

648,000 324,000 162,000 81,000 40,500 20,250 10,125 30,376 15,188 7,594 3,797 11,392 5,696 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 26 13 40 20 10 5 16 8 4 2 1

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