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3,522,012

22 × 3 × 13 × 107 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 107 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,975,232
Proper Divisor Sum 5,453,220
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3522007 ← → #3522019

Radix Representation

Decimal 3522012
Binary 1101011011110111011100 (22 bits)
Octal 0o15336734
Hexadecimal 0x35BDDC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 107 156 211 214 321 422 428 633 642 844 1,266 1,284 1,391 2,532 2,743 2,782 4,173 5,486 5,564 8,229 8,346 10,972 16,458 16,692 22,577 32,916 45,154 67,731 90,308 135,462 270,924 293,501 587,002 880,503 1,174,004 1,761,006 3,522,012

Collatz Trajectory (190 steps to reach 1)

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

3,522,012 1,761,006 880,503 2,641,510 1,320,755 3,962,266 1,981,133 5,943,400 2,971,700 1,485,850 742,925 2,228,776 1,114,388 557,194 278,597 835,792 417,896 208,948 104,474 52,237 156,712 78,356 39,178 19,589 58,768 29,384 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623

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