3,948,759

3² × 541 × 811

3,948,759 factors as 3^2 × 541 × 811. Its 12 positive divisors give a proper-divisor sum of 1,772,593, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 541 × 811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,721,352

Proper Divisor Sum 1,772,593

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3948731 ← → #3948781

Radix Representation

Decimal	3948759
Binary	1111000100000011010111 (22 bits)
Octal	0o17040327
Hexadecimal	0x3C40D7

Divisor Catalog (12)

1 3 9 541 811 1,623 2,433 4,869 7,299 438,751 1,316,253 3,948,759

Collatz Trajectory (172 steps to reach 1)

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

3,948,759 11,846,278 5,923,139 17,769,418 8,884,709 26,654,128 13,327,064 6,663,532 3,331,766 1,665,883 4,997,650 2,498,825 7,496,476 3,748,238 1,874,119 5,622,358 2,811,179 8,433,538 4,216,769 12,650,308 6,325,154 3,162,577 9,487,732 4,743,866 2,371,933 7,115,800 3,557,900 1,778,950 889,475 2,668,426 1,334,213 4,002,640 2,001,320 1,000,660 500,330 250,165 750,496 375,248 187,624 93,812 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049

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