3,948,669

3⁴ × 29 × 41²

3,948,669 factors as 3^4 × 29 × 41^2. Its 30 positive divisors give a proper-divisor sum of 2,305,821, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 3^4 × 29 × 41^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 6,254,490

Proper Divisor Sum 2,305,821

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3948667 ← → #3948673

Radix Representation

Decimal	3948669
Binary	1111000100000001111101 (22 bits)
Octal	0o17040175
Hexadecimal	0x3C407D

Divisor Catalog (30)

Collatz Trajectory (234 steps to reach 1)

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

3,948,669 11,846,008 5,923,004 2,961,502 1,480,751 4,442,254 2,221,127 6,663,382 3,331,691 9,995,074 4,997,537 14,992,612 7,496,306 3,748,153 11,244,460 5,622,230 2,811,115 8,433,346 4,216,673 12,650,020 6,325,010 3,162,505 9,487,516 4,743,758 2,371,879 7,115,638 3,557,819 10,673,458 5,336,729 16,010,188 8,005,094 4,002,547 12,007,642 6,003,821 18,011,464 9,005,732 4,502,866 2,251,433 6,754,300 3,377,150 1,688,575 5,065,726 2,532,863 7,598,590 3,799,295 11,397,886 5,698,943 17,096,830 8,548,415 25,645,246 12,822,623 38,467,870 19,233,935 57,701,806 28,850,903 86,552,710 43,276,355 129,829,066 64,914,533 194,743,600

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