8,493,667

7 × 13 × 93337

Starting at 8,493,667, the Collatz iteration reaches 1 after 137 steps. The first transition is 25481002; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 93337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,453,856

Proper Divisor Sum 1,960,189

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8493649 ← → #8493671

Radix Representation

Decimal	8493667
Binary	100000011001101001100011 (24 bits)
Octal	0o40315143
Hexadecimal	0x819A63

Divisor Catalog (8)

1 7 13 91 93,337 653,359 1,213,381 8,493,667

Collatz Trajectory (137 steps to reach 1)

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

8,493,667 25,481,002 12,740,501 38,221,504 19,110,752 9,555,376 4,777,688 2,388,844 1,194,422 597,211 1,791,634 895,817 2,687,452 1,343,726 671,863 2,015,590 1,007,795 3,023,386 1,511,693 4,535,080 2,267,540 1,133,770 566,885 1,700,656 850,328 425,164 212,582 106,291 318,874 159,437 478,312 239,156 119,578 59,789 179,368 89,684 44,842 22,421 67,264 33,632 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990

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