2,123,330

2 × 5 × 11 × 97 × 199

Starting at 2,123,330, the Collatz iteration reaches 1 after 135 steps. The first transition is 1061665; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 97 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,233,600

Proper Divisor Sum 2,110,270

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2123327 ← → #2123353

Radix Representation

Decimal	2123330
Binary	1000000110011001000010 (22 bits)
Octal	0o10063102
Hexadecimal	0x206642

Divisor Catalog (32)

1 2 5 10 11 22 55 97 110 194 199 398 485 970 995 1,067 1,990 2,134 2,189 4,378 5,335 10,670 10,945 19,303 21,890 38,606 96,515 193,030 212,333 424,666 1,061,665 2,123,330

Collatz Trajectory (135 steps to reach 1)

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

2,123,330 1,061,665 3,184,996 1,592,498 796,249 2,388,748 1,194,374 597,187 1,791,562 895,781 2,687,344 1,343,672 671,836 335,918 167,959 503,878 251,939 755,818 377,909 1,133,728 566,864 283,432 141,716 70,858 35,429 106,288 53,144 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486

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