9,509,222

2 × 17 × 37 × 7559

Starting at 9,509,222, the Collatz iteration reaches 1 after 194 steps. The first transition is 4754611; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 37 × 7559

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,513,120

Proper Divisor Sum 6,003,898

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9509191 ← → #9509231

Radix Representation

Decimal	9509222
Binary	100100010001100101100110 (24 bits)
Octal	0o44214546
Hexadecimal	0x911966

Divisor Catalog (16)

1 2 17 34 37 74 629 1,258 7,559 15,118 128,503 257,006 279,683 559,366 4,754,611 9,509,222

Collatz Trajectory (194 steps to reach 1)

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

9,509,222 4,754,611 14,263,834 7,131,917 21,395,752 10,697,876 5,348,938 2,674,469 8,023,408 4,011,704 2,005,852 1,002,926 501,463 1,504,390 752,195 2,256,586 1,128,293 3,384,880 1,692,440 846,220 423,110 211,555 634,666 317,333 952,000 476,000 238,000 119,000 59,500 29,750 14,875 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054

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