3,629,926

2 × 67 × 103 × 263

Starting at 3,629,926, the Collatz iteration reaches 1 after 203 steps. The first transition is 1814963; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 67 × 103 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,601,024

Proper Divisor Sum 1,971,098

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3629921 ← → #3629933

Radix Representation

Decimal	3629926
Binary	1101110110001101100110 (22 bits)
Octal	0o15661546
Hexadecimal	0x376366

Divisor Catalog (16)

1 2 67 103 134 206 263 526 6,901 13,802 17,621 27,089 35,242 54,178 1,814,963 3,629,926

Collatz Trajectory (203 steps to reach 1)

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

3,629,926 1,814,963 5,444,890 2,722,445 8,167,336 4,083,668 2,041,834 1,020,917 3,062,752 1,531,376 765,688 382,844 191,422 95,711 287,134 143,567 430,702 215,351 646,054 323,027 969,082 484,541 1,453,624 726,812 363,406 181,703 545,110 272,555 817,666 408,833 1,226,500 613,250 306,625 919,876 459,938 229,969 689,908 344,954 172,477 517,432 258,716 129,358 64,679 194,038 97,019 291,058 145,529 436,588 218,294 109,147 327,442 163,721 491,164 245,582 122,791 368,374 184,187 552,562 276,281 828,844

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