9,636,332

2² × 191 × 12613

Starting at 9,636,332, the Collatz iteration reaches 1 after 93 steps. The first transition is 4818166; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 191 × 12613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,953,216

Proper Divisor Sum 7,316,884

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9636311 ← → #9636337

Radix Representation

Decimal	9636332
Binary	100100110000100111101100 (24 bits)
Octal	0o44604754
Hexadecimal	0x9309EC

Divisor Catalog (12)

1 2 4 191 382 764 12,613 25,226 50,452 2,409,083 4,818,166 9,636,332

Collatz Trajectory (93 steps to reach 1)

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

9,636,332 4,818,166 2,409,083 7,227,250 3,613,625 10,840,876 5,420,438 2,710,219 8,130,658 4,065,329 12,195,988 6,097,994 3,048,997 9,146,992 4,573,496 2,286,748 1,143,374 571,687 1,715,062 857,531 2,572,594 1,286,297 3,858,892 1,929,446 964,723 2,894,170 1,447,085 4,341,256 2,170,628 1,085,314 542,657 1,627,972 813,986 406,993 1,220,980 610,490 305,245 915,736 457,868 228,934 114,467 343,402 171,701 515,104 257,552 128,776 64,388 32,194 16,097 48,292 24,146 12,073 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126

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