828,788

2² × 207197

828,788 is even and not a perfect square. Its factorization is 2^2 × 207197 and its 6 divisors sum to 1,450,386.

Prime Factor Structure

Factorization String 2^2 × 207197

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,450,386

Proper Divisor Sum 621,598

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #828787 ← → #828797

Radix Representation

Decimal	828788
Binary	11001010010101110100 (20 bits)
Octal	0o3122564
Hexadecimal	0xCA574

Divisor Catalog (6)

1 2 4 207,197 414,394 828,788

Collatz Trajectory (131 steps to reach 1)

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

828,788 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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