λ
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2,008,288

25 × 97 × 647
Deficient Even Composite

2,008,288 factors as 2^5 × 97 × 647. Its 24 positive divisors give a proper-divisor sum of 1,992,464, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^5 × 97 × 647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,000,752
Proper Divisor Sum 1,992,464
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2008277 ← → #2008289

Radix Representation

Decimal 2008288
Binary 111101010010011100000 (21 bits)
Octal 0o7522340
Hexadecimal 0x1EA4E0

Divisor Catalog (24)

1 2 4 8 16 32 97 194 388 647 776 1,294 1,552 2,588 3,104 5,176 10,352 20,704 62,759 125,518 251,036 502,072 1,004,144 2,008,288

Collatz Trajectory (153 steps to reach 1)

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

2,008,288 1,004,144 502,072 251,036 125,518 62,759 188,278 94,139 282,418 141,209 423,628 211,814 105,907 317,722 158,861 476,584 238,292 119,146 59,573 178,720 89,360 44,680 22,340 11,170 5,585 16,756 8,378 4,189 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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