3,872,691

3⁵ × 15937

3,872,691 factors as 3^5 × 15937. Its 12 positive divisors give a proper-divisor sum of 1,928,741, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^5 × 15937

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,801,432

Proper Divisor Sum 1,928,741

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3872681 ← → #3872731

Radix Representation

Decimal	3872691
Binary	1110110001011110110011 (22 bits)
Octal	0o16613663
Hexadecimal	0x3B17B3

Divisor Catalog (12)

1 3 9 27 81 243 15,937 47,811 143,433 430,299 1,290,897 3,872,691

Collatz Trajectory (92 steps to reach 1)

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

3,872,691 11,618,074 5,809,037 17,427,112 8,713,556 4,356,778 2,178,389 6,535,168 3,267,584 1,633,792 816,896 408,448 204,224 102,112 51,056 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688

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