3,693,086

2 × 353 × 5231

Starting at 3,693,086, the Collatz iteration reaches 1 after 172 steps. The first transition is 1846543; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 353 × 5231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,556,384

Proper Divisor Sum 1,863,298

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3693077 ← → #3693089

Radix Representation

Decimal	3693086
Binary	1110000101101000011110 (22 bits)
Octal	0o16055036
Hexadecimal	0x385A1E

Divisor Catalog (8)

1 2 353 706 5,231 10,462 1,846,543 3,693,086

Collatz Trajectory (172 steps to reach 1)

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

3,693,086 1,846,543 5,539,630 2,769,815 8,309,446 4,154,723 12,464,170 6,232,085 18,696,256 9,348,128 4,674,064 2,337,032 1,168,516 584,258 292,129 876,388 438,194 219,097 657,292 328,646 164,323 492,970 246,485 739,456 369,728 184,864 92,432 46,216 23,108 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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