9,832,041

3² × 61 × 17909

Starting at 9,832,041, the Collatz iteration reaches 1 after 132 steps. The first transition is 29496124; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 61 × 17909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,435,460

Proper Divisor Sum 4,603,419

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9832037 ← → #9832061

Radix Representation

Decimal	9832041
Binary	100101100000011001101001 (24 bits)
Octal	0o45403151
Hexadecimal	0x960669

Divisor Catalog (12)

1 3 9 61 183 549 17,909 53,727 161,181 1,092,449 3,277,347 9,832,041

Collatz Trajectory (132 steps to reach 1)

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

9,832,041 29,496,124 14,748,062 7,374,031 22,122,094 11,061,047 33,183,142 16,591,571 49,774,714 24,887,357 74,662,072 37,331,036 18,665,518 9,332,759 27,998,278 13,999,139 41,997,418 20,998,709 62,996,128 31,498,064 15,749,032 7,874,516 3,937,258 1,968,629 5,905,888 2,952,944 1,476,472 738,236 369,118 184,559 553,678 276,839 830,518 415,259 1,245,778 622,889 1,868,668 934,334 467,167 1,401,502 700,751 2,102,254 1,051,127 3,153,382 1,576,691 4,730,074 2,365,037 7,095,112 3,547,556 1,773,778 886,889 2,660,668 1,330,334 665,167 1,995,502 997,751 2,993,254 1,496,627 4,489,882 2,244,941

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