8,318,004

2² × 3 × 693167

Starting at 8,318,004, the Collatz iteration reaches 1 after 168 steps. The first transition is 4159002; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 693167

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,408,704

Proper Divisor Sum 11,090,700

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8317999 ← → #8318027

Radix Representation

Decimal	8318004
Binary	11111101110110000110100 (23 bits)
Octal	0o37566064
Hexadecimal	0x7EEC34

Divisor Catalog (12)

1 2 3 4 6 12 693,167 1,386,334 2,079,501 2,772,668 4,159,002 8,318,004

Collatz Trajectory (168 steps to reach 1)

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

8,318,004 4,159,002 2,079,501 6,238,504 3,119,252 1,559,626 779,813 2,339,440 1,169,720 584,860 292,430 146,215 438,646 219,323 657,970 328,985 986,956 493,478 246,739 740,218 370,109 1,110,328 555,164 277,582 138,791 416,374 208,187 624,562 312,281 936,844 468,422 234,211 702,634 351,317 1,053,952 526,976 263,488 131,744 65,872 32,936 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41

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