9,853,425

3² × 5² × 43793

Starting at 9,853,425, the Collatz iteration reaches 1 after 313 steps. The first transition is 29560276; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 43793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 17,648,982

Proper Divisor Sum 7,795,557

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9853423 ← → #9853439

Radix Representation

Decimal	9853425
Binary	100101100101100111110001 (24 bits)
Octal	0o45454761
Hexadecimal	0x9659F1

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 43,793 131,379 218,965 394,137 656,895 1,094,825 1,970,685 3,284,475 9,853,425

Collatz Trajectory (313 steps to reach 1)

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

9,853,425 29,560,276 14,780,138 7,390,069 22,170,208 11,085,104 5,542,552 2,771,276 1,385,638 692,819 2,078,458 1,039,229 3,117,688 1,558,844 779,422 389,711 1,169,134 584,567 1,753,702 876,851 2,630,554 1,315,277 3,945,832 1,972,916 986,458 493,229 1,479,688 739,844 369,922 184,961 554,884 277,442 138,721 416,164 208,082 104,041 312,124 156,062 78,031 234,094 117,047 351,142 175,571 526,714 263,357 790,072 395,036 197,518 98,759 296,278 148,139 444,418 222,209 666,628 333,314 166,657 499,972 249,986 124,993 374,980

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