7,128,231

3 × 11² × 73 × 269

7,128,231 factors as 3 × 11^2 × 73 × 269. Its 24 positive divisors give a proper-divisor sum of 3,501,129, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 73 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,629,360

Proper Divisor Sum 3,501,129

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7128227 ← → #7128259

Radix Representation

Decimal	7128231
Binary	11011001100010010100111 (23 bits)
Octal	0o33142247
Hexadecimal	0x6CC4A7

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

7,128,231 21,384,694 10,692,347 32,077,042 16,038,521 48,115,564 24,057,782 12,028,891 36,086,674 18,043,337 54,130,012 27,065,006 13,532,503 40,597,510 20,298,755 60,896,266 30,448,133 91,344,400 45,672,200 22,836,100 11,418,050 5,709,025 17,127,076 8,563,538 4,281,769 12,845,308 6,422,654 3,211,327 9,633,982 4,816,991 14,450,974 7,225,487 21,676,462 10,838,231 32,514,694 16,257,347 48,772,042 24,386,021 73,158,064 36,579,032 18,289,516 9,144,758 4,572,379 13,717,138 6,858,569 20,575,708 10,287,854 5,143,927 15,431,782 7,715,891 23,147,674 11,573,837 34,721,512 17,360,756 8,680,378 4,340,189 13,020,568 6,510,284 3,255,142 1,627,571

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