859,728

2⁴ × 3 × 17911

859,728 has digital root 3. The neighboring primes are 859709 and 859751; its proper-divisor sum differs from the starting integer by 501,632.

Prime Factor Structure

Factorization String 2^4 × 3 × 17911

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,221,088

Proper Divisor Sum 1,361,360

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #859709 ← → #859751

Radix Representation

Decimal	859728
Binary	11010001111001010000 (20 bits)
Octal	0o3217120
Hexadecimal	0xD1E50

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 17,911 35,822 53,733 71,644 107,466 143,288 214,932 286,576 429,864 859,728

Collatz Trajectory (100 steps to reach 1)

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

859,728 429,864 214,932 107,466 53,733 161,200 80,600 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910

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