12,349,337

7 × 11 × 13³ × 73

12,349,337 factors as 7 × 11 × 13^3 × 73. Its 32 positive divisors give a proper-divisor sum of 4,558,183, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13^3 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,907,520

Proper Divisor Sum 4,558,183

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #12349333 ← → #12349357

Radix Representation

Decimal	12349337
Binary	101111000110111110011001 (24 bits)
Octal	0o57067631
Hexadecimal	0xBC6F99

Divisor Catalog (32)

Collatz Trajectory (197 steps to reach 1)

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

12,349,337 37,048,012 18,524,006 9,262,003 27,786,010 13,893,005 41,679,016 20,839,508 10,419,754 5,209,877 15,629,632 7,814,816 3,907,408 1,953,704 976,852 488,426 244,213 732,640 366,320 183,160 91,580 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061

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