3,967,993

3967993

3,967,993 factors as 3967993. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 3967993

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 3,967,994

Proper Divisor Sum 1

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #3967973 ← → #3968009

Radix Representation

Decimal	3967993
Binary	1111001000101111111001 (22 bits)
Octal	0o17105771
Hexadecimal	0x3C8BF9

Divisor Catalog (2)

1 3,967,993

Collatz Trajectory (322 steps to reach 1)

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

3,967,993 11,903,980 5,951,990 2,975,995 8,927,986 4,463,993 13,391,980 6,695,990 3,347,995 10,043,986 5,021,993 15,065,980 7,532,990 3,766,495 11,299,486 5,649,743 16,949,230 8,474,615 25,423,846 12,711,923 38,135,770 19,067,885 57,203,656 28,601,828 14,300,914 7,150,457 21,451,372 10,725,686 5,362,843 16,088,530 8,044,265 24,132,796 12,066,398 6,033,199 18,099,598 9,049,799 27,149,398 13,574,699 40,724,098 20,362,049 61,086,148 30,543,074 15,271,537 45,814,612 22,907,306 11,453,653 34,360,960 17,180,480 8,590,240 4,295,120 2,147,560 1,073,780 536,890 268,445 805,336 402,668 201,334 100,667 302,002 151,001

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