3,798,588

2² × 3 × 23 × 13763

3,798,588 is even and not a perfect square. Its factorization is 2^2 × 3 × 23 × 13763 and its 24 divisors sum to 9,249,408.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 13763

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,249,408

Proper Divisor Sum 5,450,820

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #3798583 ← → #3798589

Radix Representation

Decimal	3798588
Binary	1110011111011000111100 (22 bits)
Octal	0o16373074
Hexadecimal	0x39F63C

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 13,763 27,526 41,289 55,052 82,578 165,156 316,549 633,098 949,647 1,266,196 1,899,294 3,798,588

Collatz Trajectory (79 steps to reach 1)

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

3,798,588 1,899,294 949,647 2,848,942 1,424,471 4,273,414 2,136,707 6,410,122 3,205,061 9,615,184 4,807,592 2,403,796 1,201,898 600,949 1,802,848 901,424 450,712 225,356 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112

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