2,193,052

2² × 548263

Starting at 2,193,052, the Collatz iteration reaches 1 after 117 steps. The first transition is 1096526; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 548263

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,837,848

Proper Divisor Sum 1,644,796

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2193041 ← → #2193053

Radix Representation

Decimal	2193052
Binary	1000010111011010011100 (22 bits)
Octal	0o10273234
Hexadecimal	0x21769C

Divisor Catalog (6)

1 2 4 548,263 1,096,526 2,193,052

Collatz Trajectory (117 steps to reach 1)

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

2,193,052 1,096,526 548,263 1,644,790 822,395 2,467,186 1,233,593 3,700,780 1,850,390 925,195 2,775,586 1,387,793 4,163,380 2,081,690 1,040,845 3,122,536 1,561,268 780,634 390,317 1,170,952 585,476 292,738 146,369 439,108 219,554 109,777 329,332 164,666 82,333 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912

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