3,948,574

2 × 7 × 89 × 3169

3,948,574 factors as 2 × 7 × 89 × 3169. Its 16 positive divisors give a proper-divisor sum of 2,898,626, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 7 × 89 × 3169

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,847,200

Proper Divisor Sum 2,898,626

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3948569 ← → #3948577

Radix Representation

Decimal	3948574
Binary	1111000100000000011110 (22 bits)
Octal	0o17040036
Hexadecimal	0x3C401E

Divisor Catalog (16)

1 2 7 14 89 178 623 1,246 3,169 6,338 22,183 44,366 282,041 564,082 1,974,287 3,948,574

Collatz Trajectory (141 steps to reach 1)

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

3,948,574 1,974,287 5,922,862 2,961,431 8,884,294 4,442,147 13,326,442 6,663,221 19,989,664 9,994,832 4,997,416 2,498,708 1,249,354 624,677 1,874,032 937,016 468,508 234,254 117,127 351,382 175,691 527,074 263,537 790,612 395,306 197,653 592,960 296,480 148,240 74,120 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700

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