9,201,182

2 × 17² × 15919

Starting at 9,201,182, the Collatz iteration reaches 1 after 101 steps. The first transition is 4600591; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 17^2 × 15919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,662,320

Proper Divisor Sum 5,461,138

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #9201169 ← → #9201211

Radix Representation

Decimal	9201182
Binary	100011000110011000011110 (24 bits)
Octal	0o43063036
Hexadecimal	0x8C661E

Divisor Catalog (12)

1 2 17 34 289 578 15,919 31,838 270,623 541,246 4,600,591 9,201,182

Collatz Trajectory (101 steps to reach 1)

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

9,201,182 4,600,591 13,801,774 6,900,887 20,702,662 10,351,331 31,053,994 15,526,997 46,580,992 23,290,496 11,645,248 5,822,624 2,911,312 1,455,656 727,828 363,914 181,957 545,872 272,936 136,468 68,234 34,117 102,352 51,176 25,588 12,794 6,397 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

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