793,565

5 × 43 × 3691

793,565 factors as 5 × 43 × 3691. Its 8 positive divisors give a proper-divisor sum of 181,123, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 5 × 43 × 3691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 974,688

Proper Divisor Sum 181,123

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #793561 ← → #793591

Radix Representation

Decimal	793565
Binary	11000001101111011101 (20 bits)
Octal	0o3015735
Hexadecimal	0xC1BDD

Divisor Catalog (8)

1 5 43 215 3,691 18,455 158,713 793,565

Collatz Trajectory (193 steps to reach 1)

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

793,565 2,380,696 1,190,348 595,174 297,587 892,762 446,381 1,339,144 669,572 334,786 167,393 502,180 251,090 125,545 376,636 188,318 94,159 282,478 141,239 423,718 211,859 635,578 317,789 953,368 476,684 238,342 119,171 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035

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