λ
Sequence Observatory

3,693,188

22 × 271 × 3407
Deficient Even Composite

Starting at 3,693,188, the Collatz iteration reaches 1 after 190 steps. The first transition is 1846594; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 271 × 3407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,488,832
Proper Divisor Sum 2,795,644
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3693187 ← → #3693191

Radix Representation

Decimal 3693188
Binary 1110000101101010000100 (22 bits)
Octal 0o16055204
Hexadecimal 0x385A84

Divisor Catalog (12)

1 2 4 271 542 1,084 3,407 6,814 13,628 923,297 1,846,594 3,693,188

Collatz Trajectory (190 steps to reach 1)

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

3,693,188 1,846,594 923,297 2,769,892 1,384,946 692,473 2,077,420 1,038,710 519,355 1,558,066 779,033 2,337,100 1,168,550 584,275 1,752,826 876,413 2,629,240 1,314,620 657,310 328,655 985,966 492,983 1,478,950 739,475 2,218,426 1,109,213 3,327,640 1,663,820 831,910 415,955 1,247,866 623,933 1,871,800 935,900 467,950 233,975 701,926 350,963 1,052,890 526,445 1,579,336 789,668 394,834 197,417 592,252 296,126 148,063 444,190 222,095 666,286 333,143 999,430 499,715 1,499,146 749,573 2,248,720 1,124,360 562,180 281,090 140,545

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