643,728

2⁴ × 3 × 13411

643,728 has the prime decomposition 2^4 × 3 × 13411. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13411

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,663,088

Proper Divisor Sum 1,019,360

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #643723 ← → #643729

Radix Representation

Decimal	643728
Binary	10011101001010010000 (20 bits)
Octal	0o2351220
Hexadecimal	0x9D290

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 13,411 26,822 40,233 53,644 80,466 107,288 160,932 214,576 321,864 643,728

Collatz Trajectory (216 steps to reach 1)

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

643,728 321,864 160,932 80,466 40,233 120,700 60,350 30,175 90,526 45,263 135,790 67,895 203,686 101,843 305,530 152,765 458,296 229,148 114,574 57,287 171,862 85,931 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532 91,766 45,883 137,650 68,825 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502

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