8,423,796

2² × 3 × 23² × 1327

Starting at 8,423,796, the Collatz iteration reaches 1 after 124 steps. The first transition is 4211898; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23^2 × 1327

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,562,752

Proper Divisor Sum 12,138,956

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8423791 ← → #8423797

Radix Representation

Decimal	8423796
Binary	100000001000100101110100 (24 bits)
Octal	0o40104564
Hexadecimal	0x808974

Divisor Catalog (36)

1 2 3 4 6 12 23 46 69 92 138 276 529 1,058 1,327 1,587 2,116 2,654 3,174 3,981 5,308 6,348 7,962 15,924 30,521 61,042 91,563 122,084 183,126 366,252 701,983 1,403,966 2,105,949 2,807,932 4,211,898 8,423,796

Collatz Trajectory (124 steps to reach 1)

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

8,423,796 4,211,898 2,105,949 6,317,848 3,158,924 1,579,462 789,731 2,369,194 1,184,597 3,553,792 1,776,896 888,448 444,224 222,112 111,056 55,528 27,764 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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