8,288,448

2⁶ × 3 × 7² × 881

8,288,448 factors as 2^6 × 3 × 7^2 × 881. Its 84 positive divisors give a proper-divisor sum of 17,250,744, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 7^2 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 25,539,192

Proper Divisor Sum 17,250,744

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8288447 ← → #8288453

Radix Representation

Decimal	8288448
Binary	11111100111100011000000 (23 bits)
Octal	0o37474300
Hexadecimal	0x7E78C0

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 881 1,176 1,344 1,568 1,762 2,352 2,643 3,136 3,524 4,704 5,286 6,167 7,048 9,408 10,572 12,334 14,096 18,501 21,144 24,668 28,192 37,002 42,288 43,169 49,336

Collatz Trajectory (168 steps to reach 1)

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

8,288,448 4,144,224 2,072,112 1,036,056 518,028 259,014 129,507 388,522 194,261 582,784 291,392 145,696 72,848 36,424 18,212 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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