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4,008,680

23 × 5 × 132 × 593
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,783,180
Proper Divisor Sum 5,774,500
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4008679 ← → #4008689

Radix Representation

Decimal 4008680
Binary 1111010010101011101000 (22 bits)
Octal 0o17225350
Hexadecimal 0x3D2AE8

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 593 676 845 1,186 1,352 1,690 2,372 2,965 3,380 4,744 5,930 6,760 7,709 11,860 15,418 23,720 30,836 38,545 61,672 77,090 100,217 154,180 200,434 308,360 400,868 501,085 801,736 1,002,170 2,004,340 4,008,680

Collatz Trajectory (154 steps to reach 1)

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

4,008,680 2,004,340 1,002,170 501,085 1,503,256 751,628 375,814 187,907 563,722 281,861 845,584 422,792 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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