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2,642,004

22 × 33 × 17 × 1439
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 4,615,596
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2641993 ← → #2642039

Radix Representation

Decimal 2642004
Binary 1010000101000001010100 (22 bits)
Octal 0o12050124
Hexadecimal 0x285054

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,439 1,836 2,878 4,317 5,756 8,634 12,951 17,268 24,463 25,902 38,853 48,926 51,804 73,389 77,706 97,852 146,778 155,412 220,167 293,556 440,334 660,501 880,668 1,321,002 2,642,004

Collatz Trajectory (156 steps to reach 1)

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

2,642,004 1,321,002 660,501 1,981,504 990,752 495,376 247,688 123,844 61,922 30,961 92,884 46,442 23,221 69,664 34,832 17,416 8,708 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

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