9,627,252

2² × 3 × 37 × 21683

Starting at 9,627,252, the Collatz iteration reaches 1 after 194 steps. The first transition is 4813626; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 21683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,071,776

Proper Divisor Sum 13,444,524

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9627239 ← → #9627257

Radix Representation

Decimal	9627252
Binary	100100101110011001110100 (24 bits)
Octal	0o44563164
Hexadecimal	0x92E674

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 21,683 43,366 65,049 86,732 130,098 260,196 802,271 1,604,542 2,406,813 3,209,084 4,813,626 9,627,252

Collatz Trajectory (194 steps to reach 1)

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

9,627,252 4,813,626 2,406,813 7,220,440 3,610,220 1,805,110 902,555 2,707,666 1,353,833 4,061,500 2,030,750 1,015,375 3,046,126 1,523,063 4,569,190 2,284,595 6,853,786 3,426,893 10,280,680 5,140,340 2,570,170 1,285,085 3,855,256 1,927,628 963,814 481,907 1,445,722 722,861 2,168,584 1,084,292 542,146 271,073 813,220 406,610 203,305 609,916 304,958 152,479 457,438 228,719 686,158 343,079 1,029,238 514,619 1,543,858 771,929 2,315,788 1,157,894 578,947 1,736,842 868,421 2,605,264 1,302,632 651,316 325,658 162,829 488,488 244,244 122,122 61,061

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