3,382,425

3³ × 5² × 5011

For 3,382,425, the 24 positive divisors have a total of 6,214,880. Removing 3,382,425 leaves 2,832,455, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 5011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,214,880

Proper Divisor Sum 2,832,455

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3382409 ← → #3382427

Radix Representation

Decimal	3382425
Binary	1100111001110010011001 (22 bits)
Octal	0o14716231
Hexadecimal	0x339C99

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 5,011 15,033 25,055 45,099 75,165 125,275 135,297 225,495 375,825 676,485 1,127,475 3,382,425

Collatz Trajectory (133 steps to reach 1)

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

3,382,425 10,147,276 5,073,638 2,536,819 7,610,458 3,805,229 11,415,688 5,707,844 2,853,922 1,426,961 4,280,884 2,140,442 1,070,221 3,210,664 1,605,332 802,666 401,333 1,204,000 602,000 301,000 150,500 75,250 37,625 112,876 56,438 28,219 84,658 42,329 126,988 63,494 31,747 95,242 47,621 142,864 71,432 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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