4,035,993

3 × 13 × 239 × 433

4,035,993 factors as 3 × 13 × 239 × 433. Its 16 positive divisors give a proper-divisor sum of 1,796,967, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 13 × 239 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,832,960

Proper Divisor Sum 1,796,967

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4035989 ← → #4036001

Radix Representation

Decimal	4035993
Binary	1111011001010110011001 (22 bits)
Octal	0o17312631
Hexadecimal	0x3D9599

Divisor Catalog (16)

1 3 13 39 239 433 717 1,299 3,107 5,629 9,321 16,887 103,487 310,461 1,345,331 4,035,993

Collatz Trajectory (123 steps to reach 1)

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

4,035,993 12,107,980 6,053,990 3,026,995 9,080,986 4,540,493 13,621,480 6,810,740 3,405,370 1,702,685 5,108,056 2,554,028 1,277,014 638,507 1,915,522 957,761 2,873,284 1,436,642 718,321 2,154,964 1,077,482 538,741 1,616,224 808,112 404,056 202,028 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464 85,232 42,616 21,308 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268

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