3,975,009

3 × 19 × 69737

3,975,009 factors as 3 × 19 × 69737. Its 8 positive divisors give a proper-divisor sum of 1,604,031, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3 × 19 × 69737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,579,040

Proper Divisor Sum 1,604,031

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3974987 ← → #3975011

Radix Representation

Decimal	3975009
Binary	1111001010011101100001 (22 bits)
Octal	0o17123541
Hexadecimal	0x3CA761

Divisor Catalog (8)

1 3 19 57 69,737 209,211 1,325,003 3,975,009

Collatz Trajectory (66 steps to reach 1)

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

3,975,009 11,925,028 5,962,514 2,981,257 8,943,772 4,471,886 2,235,943 6,707,830 3,353,915 10,061,746 5,030,873 15,092,620 7,546,310 3,773,155 11,319,466 5,659,733 16,979,200 8,489,600 4,244,800 2,122,400 1,061,200 530,600 265,300 132,650 66,325 198,976 99,488 49,744 24,872 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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