3,975,003

3² × 441667

3,975,003 factors as 3^2 × 441667. Its 6 positive divisors give a proper-divisor sum of 1,766,681, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 441667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,741,684

Proper Divisor Sum 1,766,681

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3974987 ← → #3975011

Radix Representation

Decimal	3975003
Binary	1111001010011101011011 (22 bits)
Octal	0o17123533
Hexadecimal	0x3CA75B

Divisor Catalog (6)

1 3 9 441,667 1,325,001 3,975,003

Collatz Trajectory (123 steps to reach 1)

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

3,975,003 11,925,010 5,962,505 17,887,516 8,943,758 4,471,879 13,415,638 6,707,819 20,123,458 10,061,729 30,185,188 15,092,594 7,546,297 22,638,892 11,319,446 5,659,723 16,979,170 8,489,585 25,468,756 12,734,378 6,367,189 19,101,568 9,550,784 4,775,392 2,387,696 1,193,848 596,924 298,462 149,231 447,694 223,847 671,542 335,771 1,007,314 503,657 1,510,972 755,486 377,743 1,133,230 566,615 1,699,846 849,923 2,549,770 1,274,885 3,824,656 1,912,328 956,164 478,082 239,041 717,124 358,562 179,281 537,844 268,922 134,461 403,384 201,692 100,846 50,423 151,270

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