8,288,288

2⁵ × 259009

For 8,288,288, the 12 positive divisors have a total of 16,317,630. Removing 8,288,288 leaves 8,029,342, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 259009

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,317,630

Proper Divisor Sum 8,029,342

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8288263 ← → #8288311

Radix Representation

Decimal	8288288
Binary	11111100111100000100000 (23 bits)
Octal	0o37474040
Hexadecimal	0x7E7820

Divisor Catalog (12)

1 2 4 8 16 32 259,009 518,018 1,036,036 2,072,072 4,144,144 8,288,288

Collatz Trajectory (199 steps to reach 1)

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

8,288,288 4,144,144 2,072,072 1,036,036 518,018 259,009 777,028 388,514 194,257 582,772 291,386 145,693 437,080 218,540 109,270 54,635 163,906 81,953 245,860 122,930 61,465 184,396 92,198 46,099 138,298 69,149 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346 29,173 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462

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