1,129,209

3 × 113 × 3331

Starting at 1,129,209, the Collatz iteration reaches 1 after 191 steps. The first transition is 3387628; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 113 × 3331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,519,392

Proper Divisor Sum 390,183

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1129187 ← → #1129211

Radix Representation

Decimal	1129209
Binary	100010011101011111001 (21 bits)
Octal	0o4235371
Hexadecimal	0x113AF9

Divisor Catalog (8)

1 3 113 339 3,331 9,993 376,403 1,129,209

Collatz Trajectory (191 steps to reach 1)

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

1,129,209 3,387,628 1,693,814 846,907 2,540,722 1,270,361 3,811,084 1,905,542 952,771 2,858,314 1,429,157 4,287,472 2,143,736 1,071,868 535,934 267,967 803,902 401,951 1,205,854 602,927 1,808,782 904,391 2,713,174 1,356,587 4,069,762 2,034,881 6,104,644 3,052,322 1,526,161 4,578,484 2,289,242 1,144,621 3,433,864 1,716,932 858,466 429,233 1,287,700 643,850 321,925 965,776 482,888 241,444 120,722 60,361 181,084 90,542 45,271 135,814 67,907 203,722 101,861 305,584 152,792 76,396 38,198 19,099 57,298 28,649 85,948 42,974

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