3,349,494

2 × 3² × 53 × 3511

3,349,494 factors as 2 × 3^2 × 53 × 3511. Its 24 positive divisors give a proper-divisor sum of 4,046,778, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 53 × 3511

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,396,272

Proper Divisor Sum 4,046,778

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3349469 ← → #3349501

Radix Representation

Decimal	3349494
Binary	1100110001101111110110 (22 bits)
Octal	0o14615766
Hexadecimal	0x331BF6

Divisor Catalog (24)

1 2 3 6 9 18 53 106 159 318 477 954 3,511 7,022 10,533 21,066 31,599 63,198 186,083 372,166 558,249 1,116,498 1,674,747 3,349,494

Collatz Trajectory (177 steps to reach 1)

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

3,349,494 1,674,747 5,024,242 2,512,121 7,536,364 3,768,182 1,884,091 5,652,274 2,826,137 8,478,412 4,239,206 2,119,603 6,358,810 3,179,405 9,538,216 4,769,108 2,384,554 1,192,277 3,576,832 1,788,416 894,208 447,104 223,552 111,776 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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