8,388,323

131 × 64033

Starting at 8,388,323, the Collatz iteration reaches 1 after 137 steps. The first transition is 25164970; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 131 × 64033

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,452,488

Proper Divisor Sum 64,165

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8388319 ← → #8388371

Radix Representation

Decimal	8388323
Binary	11111111111111011100011 (23 bits)
Octal	0o37777343
Hexadecimal	0x7FFEE3

Divisor Catalog (4)

1 131 64,033 8,388,323

Collatz Trajectory (137 steps to reach 1)

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

8,388,323 25,164,970 12,582,485 37,747,456 18,873,728 9,436,864 4,718,432 2,359,216 1,179,608 589,804 294,902 147,451 442,354 221,177 663,532 331,766 165,883 497,650 248,825 746,476 373,238 186,619 559,858 279,929 839,788 419,894 209,947 629,842 314,921 944,764 472,382 236,191 708,574 354,287 1,062,862 531,431 1,594,294 797,147 2,391,442 1,195,721 3,587,164 1,793,582 896,791 2,690,374 1,345,187 4,035,562 2,017,781 6,053,344 3,026,672 1,513,336 756,668 378,334 189,167 567,502 283,751 851,254 425,627 1,276,882 638,441 1,915,324

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