804,666

2 × 3 × 41 × 3271

804,666 factors as 2 × 3 × 41 × 3271. Its 16 positive divisors give a proper-divisor sum of 844,422, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 3271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,649,088

Proper Divisor Sum 844,422

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #804653 ← → #804689

Radix Representation

Decimal	804666
Binary	11000100011100111010 (20 bits)
Octal	0o3043472
Hexadecimal	0xC473A

Divisor Catalog (16)

1 2 3 6 41 82 123 246 3,271 6,542 9,813 19,626 134,111 268,222 402,333 804,666

Collatz Trajectory (118 steps to reach 1)

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

804,666 402,333 1,207,000 603,500 301,750 150,875 452,626 226,313 678,940 339,470 169,735 509,206 254,603 763,810 381,905 1,145,716 572,858 286,429 859,288 429,644 214,822 107,411 322,234 161,117 483,352 241,676 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851

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