8,288,104

2³ × 11 × 19 × 4957

Starting at 8,288,104, the Collatz iteration reaches 1 after 199 steps. The first transition is 4144052; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 4957

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,848,800

Proper Divisor Sum 9,560,696

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8288099 ← → #8288107

Radix Representation

Decimal	8288104
Binary	11111100111011101101000 (23 bits)
Octal	0o37473550
Hexadecimal	0x7E7768

Divisor Catalog (32)

1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1,672 4,957 9,914 19,828 39,656 54,527 94,183 109,054 188,366 218,108 376,732 436,216 753,464 1,036,013 2,072,026 4,144,052 8,288,104

Collatz Trajectory (199 steps to reach 1)

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

8,288,104 4,144,052 2,072,026 1,036,013 3,108,040 1,554,020 777,010 388,505 1,165,516 582,758 291,379 874,138 437,069 1,311,208 655,604 327,802 163,901 491,704 245,852 122,926 61,463 184,390 92,195 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462

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