2,813,192

2³ × 593²

Starting at 2,813,192, the Collatz iteration reaches 1 after 107 steps. The first transition is 1406596; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 593^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,283,645

Proper Divisor Sum 2,470,453

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2813191 ← → #2813207

Radix Representation

Decimal	2813192
Binary	1010101110110100001000 (22 bits)
Octal	0o12566410
Hexadecimal	0x2AED08

Divisor Catalog (12)

1 2 4 8 593 1,186 2,372 4,744 351,649 703,298 1,406,596 2,813,192

Collatz Trajectory (107 steps to reach 1)

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

2,813,192 1,406,596 703,298 351,649 1,054,948 527,474 263,737 791,212 395,606 197,803 593,410 296,705 890,116 445,058 222,529 667,588 333,794 166,897 500,692 250,346 125,173 375,520 187,760 93,880 46,940 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860

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