828,006

2 × 3 × 59 × 2339

828,006 has the prime decomposition 2 × 3 × 59 × 2339. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 2339

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,684,800

Proper Divisor Sum 856,794

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #827989 ← → #828007

Radix Representation

Decimal	828006
Binary	11001010001001100110 (20 bits)
Octal	0o3121146
Hexadecimal	0xCA266

Divisor Catalog (16)

1 2 3 6 59 118 177 354 2,339 4,678 7,017 14,034 138,001 276,002 414,003 828,006

Collatz Trajectory (82 steps to reach 1)

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

828,006 414,003 1,242,010 621,005 1,863,016 931,508 465,754 232,877 698,632 349,316 174,658 87,329 261,988 130,994 65,497 196,492 98,246 49,123 147,370 73,685 221,056 110,528 55,264 27,632 13,816 6,908 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148

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