803,084

2² × 200771

803,084 factors as 2^2 × 200771. Its 6 positive divisors give a proper-divisor sum of 602,320, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 200771

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,405,404

Proper Divisor Sum 602,320

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #803059 ← → #803087

Radix Representation

Decimal	803084
Binary	11000100000100001100 (20 bits)
Octal	0o3040414
Hexadecimal	0xC410C

Divisor Catalog (6)

1 2 4 200,771 401,542 803,084

Collatz Trajectory (144 steps to reach 1)

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

803,084 401,542 200,771 602,314 301,157 903,472 451,736 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616

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