3,968,631

3² × 440959

3,968,631 factors as 3^2 × 440959. Its 6 positive divisors give a proper-divisor sum of 1,763,849, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3^2 × 440959

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,732,480

Proper Divisor Sum 1,763,849

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3968617 ← → #3968647

Radix Representation

Decimal	3968631
Binary	1111001000111001110111 (22 bits)
Octal	0o17107167
Hexadecimal	0x3C8E77

Divisor Catalog (6)

1 3 9 440,959 1,322,877 3,968,631

Collatz Trajectory (141 steps to reach 1)

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

3,968,631 11,905,894 5,952,947 17,858,842 8,929,421 26,788,264 13,394,132 6,697,066 3,348,533 10,045,600 5,022,800 2,511,400 1,255,700 627,850 313,925 941,776 470,888 235,444 117,722 58,861 176,584 88,292 44,146 22,073 66,220 33,110 16,555 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701

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