2,002,496

2⁶ × 67 × 467

For 2,002,496, the 28 positive divisors have a total of 4,041,648. Removing 2,002,496 leaves 2,039,152, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 67 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 4,041,648

Proper Divisor Sum 2,039,152

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2002471 ← → #2002523

Radix Representation

Decimal	2002496
Binary	111101000111001000000 (21 bits)
Octal	0o7507100
Hexadecimal	0x1E8E40

Divisor Catalog (28)

1 2 4 8 16 32 64 67 134 268 467 536 934 1,072 1,868 2,144 3,736 4,288 7,472 14,944 29,888 31,289 62,578 125,156 250,312 500,624 1,001,248 2,002,496

Collatz Trajectory (153 steps to reach 1)

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

2,002,496 1,001,248 500,624 250,312 125,156 62,578 31,289 93,868 46,934 23,467 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

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