8,237,697

3 × 13 × 19 × 11117

8,237,697 factors as 3 × 13 × 19 × 11117. Its 16 positive divisors give a proper-divisor sum of 4,214,463, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 11117

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,452,160

Proper Divisor Sum 4,214,463

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8237693 ← → #8237699

Radix Representation

Decimal	8237697
Binary	11111011011001010000001 (23 bits)
Octal	0o37331201
Hexadecimal	0x7DB281

Divisor Catalog (16)

1 3 13 19 39 57 247 741 11,117 33,351 144,521 211,223 433,563 633,669 2,745,899 8,237,697

Collatz Trajectory (199 steps to reach 1)

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

8,237,697 24,713,092 12,356,546 6,178,273 18,534,820 9,267,410 4,633,705 13,901,116 6,950,558 3,475,279 10,425,838 5,212,919 15,638,758 7,819,379 23,458,138 11,729,069 35,187,208 17,593,604 8,796,802 4,398,401 13,195,204 6,597,602 3,298,801 9,896,404 4,948,202 2,474,101 7,422,304 3,711,152 1,855,576 927,788 463,894 231,947 695,842 347,921 1,043,764 521,882 260,941 782,824 391,412 195,706 97,853 293,560 146,780 73,390 36,695 110,086 55,043 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252

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