803,121

3 × 11 × 24337

803,121 factors as 3 × 11 × 24337. Its 8 positive divisors give a proper-divisor sum of 365,103, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3 × 11 × 24337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,168,224

Proper Divisor Sum 365,103

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #803119 ← → #803141

Radix Representation

Decimal	803121
Binary	11000100000100110001 (20 bits)
Octal	0o3040461
Hexadecimal	0xC4131

Divisor Catalog (8)

1 3 11 33 24,337 73,011 267,707 803,121

Collatz Trajectory (144 steps to reach 1)

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

803,121 2,409,364 1,204,682 602,341 1,807,024 903,512 451,756 225,878 112,939 338,818 169,409 508,228 254,114 127,057 381,172 190,586 95,293 285,880 142,940 71,470 35,735 107,206 53,603 160,810 80,405 241,216 120,608 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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