3,503,727

3² × 389303

3,503,727 factors as 3^2 × 389303. Its 6 positive divisors give a proper-divisor sum of 1,557,225, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3^2 × 389303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,060,952

Proper Divisor Sum 1,557,225

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3503719 ← → #3503761

Radix Representation

Decimal	3503727
Binary	1101010111011001101111 (22 bits)
Octal	0o15273157
Hexadecimal	0x35766F

Divisor Catalog (6)

1 3 9 389,303 1,167,909 3,503,727

Collatz Trajectory (115 steps to reach 1)

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

3,503,727 10,511,182 5,255,591 15,766,774 7,883,387 23,650,162 11,825,081 35,475,244 17,737,622 8,868,811 26,606,434 13,303,217 39,909,652 19,954,826 9,977,413 29,932,240 14,966,120 7,483,060 3,741,530 1,870,765 5,612,296 2,806,148 1,403,074 701,537 2,104,612 1,052,306 526,153 1,578,460 789,230 394,615 1,183,846 591,923 1,775,770 887,885 2,663,656 1,331,828 665,914 332,957 998,872 499,436 249,718 124,859 374,578 187,289 561,868 280,934 140,467 421,402 210,701 632,104 316,052 158,026 79,013 237,040 118,520 59,260 29,630 14,815 44,446 22,223

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