8,311,392

2⁵ × 3² × 28859

Starting at 8,311,392, the Collatz iteration reaches 1 after 168 steps. The first transition is 4155696; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 28859

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,636,340

Proper Divisor Sum 15,324,948

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8311361 ← → #8311393

Radix Representation

Decimal	8311392
Binary	11111101101001001100000 (23 bits)
Octal	0o37551140
Hexadecimal	0x7ED260

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28,859 57,718 86,577 115,436 173,154 230,872 259,731 346,308 461,744 519,462 692,616 923,488 1,038,924 1,385,232 2,077,848 2,770,464 4,155,696 8,311,392

Collatz Trajectory (168 steps to reach 1)

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

8,311,392 4,155,696 2,077,848 1,038,924 519,462 259,731 779,194 389,597 1,168,792 584,396 292,198 146,099 438,298 219,149 657,448 328,724 164,362 82,181 246,544 123,272 61,636 30,818 15,409 46,228 23,114 11,557 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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