3,726,801

3² × 13 × 53 × 601

3,726,801 has the prime decomposition 3^2 × 13 × 53 × 601. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 53 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,916,456

Proper Divisor Sum 2,189,655

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3726797 ← → #3726803

Radix Representation

Decimal	3726801
Binary	1110001101110111010001 (22 bits)
Octal	0o16156721
Hexadecimal	0x38DDD1

Divisor Catalog (24)

1 3 9 13 39 53 117 159 477 601 689 1,803 2,067 5,409 6,201 7,813 23,439 31,853 70,317 95,559 286,677 414,089 1,242,267 3,726,801

Collatz Trajectory (79 steps to reach 1)

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

3,726,801 11,180,404 5,590,202 2,795,101 8,385,304 4,192,652 2,096,326 1,048,163 3,144,490 1,572,245 4,716,736 2,358,368 1,179,184 589,592 294,796 147,398 73,699 221,098 110,549 331,648 165,824 82,912 41,456 20,728 10,364 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112

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