7,793,037

3³ × 7 × 41233

7,793,037 factors as 3^3 × 7 × 41233. Its 16 positive divisors give a proper-divisor sum of 5,401,843, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 41233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,194,880

Proper Divisor Sum 5,401,843

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7793033 ← → #7793041

Radix Representation

Decimal	7793037
Binary	11101101110100110001101 (23 bits)
Octal	0o35564615
Hexadecimal	0x76E98D

Divisor Catalog (16)

1 3 7 9 21 27 63 189 41,233 123,699 288,631 371,097 865,893 1,113,291 2,597,679 7,793,037

Collatz Trajectory (111 steps to reach 1)

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

7,793,037 23,379,112 11,689,556 5,844,778 2,922,389 8,767,168 4,383,584 2,191,792 1,095,896 547,948 273,974 136,987 410,962 205,481 616,444 308,222 154,111 462,334 231,167 693,502 346,751 1,040,254 520,127 1,560,382 780,191 2,340,574 1,170,287 3,510,862 1,755,431 5,266,294 2,633,147 7,899,442 3,949,721 11,849,164 5,924,582 2,962,291 8,886,874 4,443,437 13,330,312 6,665,156 3,332,578 1,666,289 4,998,868 2,499,434 1,249,717 3,749,152 1,874,576 937,288 468,644 234,322 117,161 351,484 175,742 87,871 263,614 131,807 395,422 197,711 593,134 296,567

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