797,097

3 × 7 × 37957

797,097 factors as 3 × 7 × 37957. Its 8 positive divisors give a proper-divisor sum of 417,559, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,214,656

Proper Divisor Sum 417,559

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #797077 ← → #797119

Radix Representation

Decimal	797097
Binary	11000010100110101001 (20 bits)
Octal	0o3024651
Hexadecimal	0xC29A9

Divisor Catalog (8)

1 3 7 21 37,957 113,871 265,699 797,097

Collatz Trajectory (144 steps to reach 1)

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

797,097 2,391,292 1,195,646 597,823 1,793,470 896,735 2,690,206 1,345,103 4,035,310 2,017,655 6,052,966 3,026,483 9,079,450 4,539,725 13,619,176 6,809,588 3,404,794 1,702,397 5,107,192 2,553,596 1,276,798 638,399 1,915,198 957,599 2,872,798 1,436,399 4,309,198 2,154,599 6,463,798 3,231,899 9,695,698 4,847,849 14,543,548 7,271,774 3,635,887 10,907,662 5,453,831 16,361,494 8,180,747 24,542,242 12,271,121 36,813,364 18,406,682 9,203,341 27,610,024 13,805,012 6,902,506 3,451,253 10,353,760 5,176,880 2,588,440 1,294,220 647,110 323,555 970,666 485,333 1,456,000 728,000 364,000 182,000

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