792,869

7² × 11 × 1471

792,869 factors as 7^2 × 11 × 1471. Its 12 positive divisors give a proper-divisor sum of 213,979, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 1471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,006,848

Proper Divisor Sum 213,979

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #792821 ← → #792871

Radix Representation

Decimal	792869
Binary	11000001100100100101 (20 bits)
Octal	0o3014445
Hexadecimal	0xC1925

Divisor Catalog (12)

1 7 11 49 77 539 1,471 10,297 16,181 72,079 113,267 792,869

Collatz Trajectory (162 steps to reach 1)

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

792,869 2,378,608 1,189,304 594,652 297,326 148,663 445,990 222,995 668,986 334,493 1,003,480 501,740 250,870 125,435 376,306 188,153 564,460 282,230 141,115 423,346 211,673 635,020 317,510 158,755 476,266 238,133 714,400 357,200 178,600 89,300 44,650 22,325 66,976 33,488 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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