12,371,775

3 × 5² × 13 × 12689

12,371,775 factors as 3 × 5^2 × 13 × 12689. Its 24 positive divisors give a proper-divisor sum of 9,658,065, so this integer is deficient. The Collatz stopping time is 365 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 12689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,029,840

Proper Divisor Sum 9,658,065

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #12371761 ← → #12371789

Radix Representation

Decimal	12371775
Binary	101111001100011100111111 (24 bits)
Octal	0o57143477
Hexadecimal	0xBCC73F

Divisor Catalog (24)

Collatz Trajectory (365 steps to reach 1)

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

12,371,775 37,115,326 18,557,663 55,672,990 27,836,495 83,509,486 41,754,743 125,264,230 62,632,115 187,896,346 93,948,173 281,844,520 140,922,260 70,461,130 35,230,565 105,691,696 52,845,848 26,422,924 13,211,462 6,605,731 19,817,194 9,908,597 29,725,792 14,862,896 7,431,448 3,715,724 1,857,862 928,931 2,786,794 1,393,397 4,180,192 2,090,096 1,045,048 522,524 261,262 130,631 391,894 195,947 587,842 293,921 881,764 440,882 220,441 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812

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