9,242,175

3 × 5² × 123229

Starting at 9,242,175, the Collatz iteration reaches 1 after 101 steps. The first transition is 27726526; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 123229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,280,520

Proper Divisor Sum 6,038,345

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9242153 ← → #9242183

Radix Representation

Decimal	9242175
Binary	100011010000011000111111 (24 bits)
Octal	0o43203077
Hexadecimal	0x8D063F

Divisor Catalog (12)

1 3 5 15 25 75 123,229 369,687 616,145 1,848,435 3,080,725 9,242,175

Collatz Trajectory (101 steps to reach 1)

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

9,242,175 27,726,526 13,863,263 41,589,790 20,794,895 62,384,686 31,192,343 93,577,030 46,788,515 140,365,546 70,182,773 210,548,320 105,274,160 52,637,080 26,318,540 13,159,270 6,579,635 19,738,906 9,869,453 29,608,360 14,804,180 7,402,090 3,701,045 11,103,136 5,551,568 2,775,784 1,387,892 693,946 346,973 1,040,920 520,460 260,230 130,115 390,346 195,173 585,520 292,760 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624

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