9,242,652

2² × 3 × 281 × 2741

Starting at 9,242,652, the Collatz iteration reaches 1 after 163 steps. The first transition is 4621326; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 281 × 2741

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,650,832

Proper Divisor Sum 12,408,180

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9242641 ← → #9242657

Radix Representation

Decimal	9242652
Binary	100011010000100000011100 (24 bits)
Octal	0o43204034
Hexadecimal	0x8D081C

Divisor Catalog (24)

1 2 3 4 6 12 281 562 843 1,124 1,686 2,741 3,372 5,482 8,223 10,964 16,446 32,892 770,221 1,540,442 2,310,663 3,080,884 4,621,326 9,242,652

Collatz Trajectory (163 steps to reach 1)

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

9,242,652 4,621,326 2,310,663 6,931,990 3,465,995 10,397,986 5,198,993 15,596,980 7,798,490 3,899,245 11,697,736 5,848,868 2,924,434 1,462,217 4,386,652 2,193,326 1,096,663 3,289,990 1,644,995 4,934,986 2,467,493 7,402,480 3,701,240 1,850,620 925,310 462,655 1,387,966 693,983 2,081,950 1,040,975 3,122,926 1,561,463 4,684,390 2,342,195 7,026,586 3,513,293 10,539,880 5,269,940 2,634,970 1,317,485 3,952,456 1,976,228 988,114 494,057 1,482,172 741,086 370,543 1,111,630 555,815 1,667,446 833,723 2,501,170 1,250,585 3,751,756 1,875,878 937,939 2,813,818 1,406,909 4,220,728 2,110,364

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