3,365,756

2² × 349 × 2411

3,365,756 factors as 2^2 × 349 × 2411. Its 12 positive divisors give a proper-divisor sum of 2,543,644, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 349 × 2411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,909,400

Proper Divisor Sum 2,543,644

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3365749 ← → #3365759

Radix Representation

Decimal	3365756
Binary	1100110101101101111100 (22 bits)
Octal	0o14655574
Hexadecimal	0x335B7C

Divisor Catalog (12)

1 2 4 349 698 1,396 2,411 4,822 9,644 841,439 1,682,878 3,365,756

Collatz Trajectory (107 steps to reach 1)

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

3,365,756 1,682,878 841,439 2,524,318 1,262,159 3,786,478 1,893,239 5,679,718 2,839,859 8,519,578 4,259,789 12,779,368 6,389,684 3,194,842 1,597,421 4,792,264 2,396,132 1,198,066 599,033 1,797,100 898,550 449,275 1,347,826 673,913 2,021,740 1,010,870 505,435 1,516,306 758,153 2,274,460 1,137,230 568,615 1,705,846 852,923 2,558,770 1,279,385 3,838,156 1,919,078 959,539 2,878,618 1,439,309 4,317,928 2,158,964 1,079,482 539,741 1,619,224 809,612 404,806 202,403 607,210 303,605 910,816 455,408 227,704 113,852 56,926 28,463 85,390 42,695 128,086

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