3,817,429

7 × 11² × 4507

Starting at 3,817,429, the Collatz iteration reaches 1 after 172 steps. The first transition is 11452288; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 11^2 × 4507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,796,512

Proper Divisor Sum 979,083

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3817397 ← → #3817447

Radix Representation

Decimal	3817429
Binary	1110100011111111010101 (22 bits)
Octal	0o16437725
Hexadecimal	0x3A3FD5

Divisor Catalog (12)

1 7 11 77 121 847 4,507 31,549 49,577 347,039 545,347 3,817,429

Collatz Trajectory (172 steps to reach 1)

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

3,817,429 11,452,288 5,726,144 2,863,072 1,431,536 715,768 357,884 178,942 89,471 268,414 134,207 402,622 201,311 603,934 301,967 905,902 452,951 1,358,854 679,427 2,038,282 1,019,141 3,057,424 1,528,712 764,356 382,178 191,089 573,268 286,634 143,317 429,952 214,976 107,488 53,744 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674

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