7,197,831

3² × 799759

7,197,831 factors as 3^2 × 799759. Its 6 positive divisors give a proper-divisor sum of 3,199,049, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^2 × 799759

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,396,880

Proper Divisor Sum 3,199,049

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7197809 ← → #7197833

Radix Representation

Decimal	7197831
Binary	11011011101010010000111 (23 bits)
Octal	0o33352207
Hexadecimal	0x6DD487

Divisor Catalog (6)

1 3 9 799,759 2,399,277 7,197,831

Collatz Trajectory (173 steps to reach 1)

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

7,197,831 21,593,494 10,796,747 32,390,242 16,195,121 48,585,364 24,292,682 12,146,341 36,439,024 18,219,512 9,109,756 4,554,878 2,277,439 6,832,318 3,416,159 10,248,478 5,124,239 15,372,718 7,686,359 23,059,078 11,529,539 34,588,618 17,294,309 51,882,928 25,941,464 12,970,732 6,485,366 3,242,683 9,728,050 4,864,025 14,592,076 7,296,038 3,648,019 10,944,058 5,472,029 16,416,088 8,208,044 4,104,022 2,052,011 6,156,034 3,078,017 9,234,052 4,617,026 2,308,513 6,925,540 3,462,770 1,731,385 5,194,156 2,597,078 1,298,539 3,895,618 1,947,809 5,843,428 2,921,714 1,460,857 4,382,572 2,191,286 1,095,643 3,286,930 1,643,465

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