3,907,358

2 × 7² × 13 × 3067

3,907,358 factors as 2 × 7^2 × 13 × 3067. Its 24 positive divisors give a proper-divisor sum of 3,437,434, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 3067

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,344,792

Proper Divisor Sum 3,437,434

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3907349 ← → #3907361

Radix Representation

Decimal	3907358
Binary	1110111001111100011110 (22 bits)
Octal	0o16717436
Hexadecimal	0x3B9F1E

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

3,907,358 1,953,679 5,861,038 2,930,519 8,791,558 4,395,779 13,187,338 6,593,669 19,781,008 9,890,504 4,945,252 2,472,626 1,236,313 3,708,940 1,854,470 927,235 2,781,706 1,390,853 4,172,560 2,086,280 1,043,140 521,570 260,785 782,356 391,178 195,589 586,768 293,384 146,692 73,346 36,673 110,020 55,010 27,505 82,516 41,258 20,629 61,888 30,944 15,472 7,736 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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