3,392,385

3 × 5 × 23 × 9833

Starting at 3,392,385, the Collatz iteration reaches 1 after 252 steps. The first transition is 10177156; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 9833

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,664,384

Proper Divisor Sum 2,271,999

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3392341 ← → #3392443

Radix Representation

Decimal	3392385
Binary	1100111100001110000001 (22 bits)
Octal	0o14741601
Hexadecimal	0x33C381

Divisor Catalog (16)

1 3 5 15 23 69 115 345 9,833 29,499 49,165 147,495 226,159 678,477 1,130,795 3,392,385

Collatz Trajectory (252 steps to reach 1)

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

3,392,385 10,177,156 5,088,578 2,544,289 7,632,868 3,816,434 1,908,217 5,724,652 2,862,326 1,431,163 4,293,490 2,146,745 6,440,236 3,220,118 1,610,059 4,830,178 2,415,089 7,245,268 3,622,634 1,811,317 5,433,952 2,716,976 1,358,488 679,244 339,622 169,811 509,434 254,717 764,152 382,076 191,038 95,519 286,558 143,279 429,838 214,919 644,758 322,379 967,138 483,569 1,450,708 725,354 362,677 1,088,032 544,016 272,008 136,004 68,002 34,001 102,004 51,002 25,501 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518

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