3,967,221

3 × 397 × 3331

3,967,221 factors as 3 × 397 × 3331. Its 8 positive divisors give a proper-divisor sum of 1,337,323, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 397 × 3331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,304,544

Proper Divisor Sum 1,337,323

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3967207 ← → #3967231

Radix Representation

Decimal	3967221
Binary	1111001000100011110101 (22 bits)
Octal	0o17104365
Hexadecimal	0x3C88F5

Divisor Catalog (8)

1 3 397 1,191 3,331 9,993 1,322,407 3,967,221

Collatz Trajectory (141 steps to reach 1)

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

3,967,221 11,901,664 5,950,832 2,975,416 1,487,708 743,854 371,927 1,115,782 557,891 1,673,674 836,837 2,510,512 1,255,256 627,628 313,814 156,907 470,722 235,361 706,084 353,042 176,521 529,564 264,782 132,391 397,174 198,587 595,762 297,881 893,644 446,822 223,411 670,234 335,117 1,005,352 502,676 251,338 125,669 377,008 188,504 94,252 47,126 23,563 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700

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