803,293

739 × 1087

803,293 factors as 739 × 1087. Its 4 positive divisors give a proper-divisor sum of 1,827, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 739 × 1087

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 805,120

Proper Divisor Sum 1,827

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #803287 ← → #803311

Radix Representation

Decimal	803293
Binary	11000100000111011101 (20 bits)
Octal	0o3040735
Hexadecimal	0xC41DD

Divisor Catalog (4)

1 739 1,087 803,293

Collatz Trajectory (144 steps to reach 1)

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

803,293 2,409,880 1,204,940 602,470 301,235 903,706 451,853 1,355,560 677,780 338,890 169,445 508,336 254,168 127,084 63,542 31,771 95,314 47,657 142,972 71,486 35,743 107,230 53,615 160,846 80,423 241,270 120,635 361,906 180,953 542,860 271,430 135,715 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102

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