9,437,331

3 × 37 × 85021

Starting at 9,437,331, the Collatz iteration reaches 1 after 163 steps. The first transition is 28311994; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 85021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,923,344

Proper Divisor Sum 3,486,013

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9437321 ← → #9437333

Radix Representation

Decimal	9437331
Binary	100100000000000010010011 (24 bits)
Octal	0o44000223
Hexadecimal	0x900093

Divisor Catalog (8)

1 3 37 111 85,021 255,063 3,145,777 9,437,331

Collatz Trajectory (163 steps to reach 1)

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

9,437,331 28,311,994 14,155,997 42,467,992 21,233,996 10,616,998 5,308,499 15,925,498 7,962,749 23,888,248 11,944,124 5,972,062 2,986,031 8,958,094 4,479,047 13,437,142 6,718,571 20,155,714 10,077,857 30,233,572 15,116,786 7,558,393 22,675,180 11,337,590 5,668,795 17,006,386 8,503,193 25,509,580 12,754,790 6,377,395 19,132,186 9,566,093 28,698,280 14,349,140 7,174,570 3,587,285 10,761,856 5,380,928 2,690,464 1,345,232 672,616 336,308 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152

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