3,382,461

3² × 233 × 1613

3,382,461 is odd and not a perfect square. Its factorization is 3^2 × 233 × 1613 and its 12 divisors sum to 4,909,788.

Prime Factor Structure

Factorization String 3^2 × 233 × 1613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,909,788

Proper Divisor Sum 1,527,327

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3382453 ← → #3382493

Radix Representation

Decimal	3382461
Binary	1100111001110010111101 (22 bits)
Octal	0o14716275
Hexadecimal	0x339CBD

Divisor Catalog (12)

1 3 9 233 699 1,613 2,097 4,839 14,517 375,829 1,127,487 3,382,461

Collatz Trajectory (133 steps to reach 1)

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

3,382,461 10,147,384 5,073,692 2,536,846 1,268,423 3,805,270 1,902,635 5,707,906 2,853,953 8,561,860 4,280,930 2,140,465 6,421,396 3,210,698 1,605,349 4,816,048 2,408,024 1,204,012 602,006 301,003 903,010 451,505 1,354,516 677,258 338,629 1,015,888 507,944 253,972 126,986 63,493 190,480 95,240 47,620 23,810 11,905 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460

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