2,004,288

2⁶ × 3 × 11 × 13 × 73

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 13 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 6,315,456

Proper Divisor Sum 4,311,168

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2004271 ← → #2004293

Radix Representation

Decimal	2004288
Binary	111101001010101000000 (21 bits)
Octal	0o7512500
Hexadecimal	0x1E9540

Divisor Catalog (60 of 112)

1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 73 78 88 96 104 132 143 146 156 176 192 208 219 264 286 292 312 352 416 429 438 528 572 584 624 704 803 832 858 876 949 1,056 1,144 1,168 1,248 1,606 1,716 1,752 1,898

Collatz Trajectory (60 steps to reach 1)

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

2,004,288 1,002,144 501,072 250,536 125,268 62,634 31,317 93,952 46,976 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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