803,089

7 × 47 × 2441

803,089 factors as 7 × 47 × 2441. Its 8 positive divisors give a proper-divisor sum of 134,639, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 7 × 47 × 2441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 937,728

Proper Divisor Sum 134,639

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #803087 ← → #803093

Radix Representation

Decimal	803089
Binary	11000100000100010001 (20 bits)
Octal	0o3040421
Hexadecimal	0xC4111

Divisor Catalog (8)

1 7 47 329 2,441 17,087 114,727 803,089

Collatz Trajectory (144 steps to reach 1)

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

803,089 2,409,268 1,204,634 602,317 1,806,952 903,476 451,738 225,869 677,608 338,804 169,402 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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