7,197,801

3 × 13 × 184559

7,197,801 factors as 3 × 13 × 184559. Its 8 positive divisors give a proper-divisor sum of 3,137,559, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3 × 13 × 184559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,335,360

Proper Divisor Sum 3,137,559

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7197793 ← → #7197803

Radix Representation

Decimal	7197801
Binary	11011011101010001101001 (23 bits)
Octal	0o33352151
Hexadecimal	0x6DD469

Divisor Catalog (8)

1 3 13 39 184,559 553,677 2,399,267 7,197,801

Collatz Trajectory (173 steps to reach 1)

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

7,197,801 21,593,404 10,796,702 5,398,351 16,195,054 8,097,527 24,292,582 12,146,291 36,438,874 18,219,437 54,658,312 27,329,156 13,664,578 6,832,289 20,496,868 10,248,434 5,124,217 15,372,652 7,686,326 3,843,163 11,529,490 5,764,745 17,294,236 8,647,118 4,323,559 12,970,678 6,485,339 19,456,018 9,728,009 29,184,028 14,592,014 7,296,007 21,888,022 10,944,011 32,832,034 16,416,017 49,248,052 24,624,026 12,312,013 36,936,040 18,468,020 9,234,010 4,617,005 13,851,016 6,925,508 3,462,754 1,731,377 5,194,132 2,597,066 1,298,533 3,895,600 1,947,800 973,900 486,950 243,475 730,426 365,213 1,095,640 547,820 273,910

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