803,085

3 × 5 × 37 × 1447

803,085 factors as 3 × 5 × 37 × 1447. Its 16 positive divisors give a proper-divisor sum of 517,491, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 1447

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,320,576

Proper Divisor Sum 517,491

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #803059 ← → #803087

Radix Representation

Decimal	803085
Binary	11000100000100001101 (20 bits)
Octal	0o3040415
Hexadecimal	0xC410D

Divisor Catalog (16)

1 3 5 15 37 111 185 555 1,447 4,341 7,235 21,705 53,539 160,617 267,695 803,085

Collatz Trajectory (144 steps to reach 1)

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

803,085 2,409,256 1,204,628 602,314 301,157 903,472 451,736 225,868 112,934 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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