10,770,331

11² × 13 × 41 × 167

10,770,331 factors as 11^2 × 13 × 41 × 167. Its 24 positive divisors give a proper-divisor sum of 2,367,941, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 11^2 × 13 × 41 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,138,272

Proper Divisor Sum 2,367,941

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #10770323 ← → #10770407

Radix Representation

Decimal	10770331
Binary	101001000101011110011011 (24 bits)
Octal	0o51053633
Hexadecimal	0xA4579B

Divisor Catalog (24)

Collatz Trajectory (189 steps to reach 1)

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

10,770,331 32,310,994 16,155,497 48,466,492 24,233,246 12,116,623 36,349,870 18,174,935 54,524,806 27,262,403 81,787,210 40,893,605 122,680,816 61,340,408 30,670,204 15,335,102 7,667,551 23,002,654 11,501,327 34,503,982 17,251,991 51,755,974 25,877,987 77,633,962 38,816,981 116,450,944 58,225,472 29,112,736 14,556,368 7,278,184 3,639,092 1,819,546 909,773 2,729,320 1,364,660 682,330 341,165 1,023,496 511,748 255,874 127,937 383,812 191,906 95,953 287,860 143,930 71,965 215,896 107,948 53,974 26,987 80,962 40,481 121,444 60,722 30,361 91,084 45,542 22,771 68,314

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