4,093,749

3² × 11 × 41351

4,093,749 is odd and not a perfect square. Its factorization is 3^2 × 11 × 41351 and its 12 divisors sum to 6,450,912.

Prime Factor Structure

Factorization String 3^2 × 11 × 41351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,450,912

Proper Divisor Sum 2,357,163

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4093709 ← → #4093751

Radix Representation

Decimal	4093749
Binary	1111100111011100110101 (22 bits)
Octal	0o17473465
Hexadecimal	0x3E7735

Divisor Catalog (12)

1 3 9 11 33 99 41,351 124,053 372,159 454,861 1,364,583 4,093,749

Collatz Trajectory (92 steps to reach 1)

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

4,093,749 12,281,248 6,140,624 3,070,312 1,535,156 767,578 383,789 1,151,368 575,684 287,842 143,921 431,764 215,882 107,941 323,824 161,912 80,956 40,478 20,239 60,718 30,359 91,078 45,539 136,618 68,309 204,928 102,464 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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