3,687,788

2² × 13 × 70919

3,687,788 is even and not a perfect square. Its factorization is 2^2 × 13 × 70919 and its 12 divisors sum to 6,950,160.

Prime Factor Structure

Factorization String 2^2 × 13 × 70919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,950,160

Proper Divisor Sum 3,262,372

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #3687787 ← → #3687823

Radix Representation

Decimal	3687788
Binary	1110000100010101101100 (22 bits)
Octal	0o16042554
Hexadecimal	0x38456C

Divisor Catalog (12)

1 2 4 13 26 52 70,919 141,838 283,676 921,947 1,843,894 3,687,788

Collatz Trajectory (141 steps to reach 1)

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

3,687,788 1,843,894 921,947 2,765,842 1,382,921 4,148,764 2,074,382 1,037,191 3,111,574 1,555,787 4,667,362 2,333,681 7,001,044 3,500,522 1,750,261 5,250,784 2,625,392 1,312,696 656,348 328,174 164,087 492,262 246,131 738,394 369,197 1,107,592 553,796 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345

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