8,350,412

2² × 7 × 61 × 4889

Starting at 8,350,412, the Collatz iteration reaches 1 after 168 steps. The first transition is 4175206; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 4889

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,978,080

Proper Divisor Sum 8,627,668

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8350399 ← → #8350457

Radix Representation

Decimal	8350412
Binary	11111110110101011001100 (23 bits)
Octal	0o37665314
Hexadecimal	0x7F6ACC

Divisor Catalog (24)

1 2 4 7 14 28 61 122 244 427 854 1,708 4,889 9,778 19,556 34,223 68,446 136,892 298,229 596,458 1,192,916 2,087,603 4,175,206 8,350,412

Collatz Trajectory (168 steps to reach 1)

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

8,350,412 4,175,206 2,087,603 6,262,810 3,131,405 9,394,216 4,697,108 2,348,554 1,174,277 3,522,832 1,761,416 880,708 440,354 220,177 660,532 330,266 165,133 495,400 247,700 123,850 61,925 185,776 92,888 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41

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