3,347,914

2 × 19² × 4637

Starting at 3,347,914, the Collatz iteration reaches 1 after 138 steps. The first transition is 1673957; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 19^2 × 4637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,301,234

Proper Divisor Sum 1,953,320

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3347909 ← → #3347921

Radix Representation

Decimal	3347914
Binary	1100110001010111001010 (22 bits)
Octal	0o14612712
Hexadecimal	0x3315CA

Divisor Catalog (12)

1 2 19 38 361 722 4,637 9,274 88,103 176,206 1,673,957 3,347,914

Collatz Trajectory (138 steps to reach 1)

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

3,347,914 1,673,957 5,021,872 2,510,936 1,255,468 627,734 313,867 941,602 470,801 1,412,404 706,202 353,101 1,059,304 529,652 264,826 132,413 397,240 198,620 99,310 49,655 148,966 74,483 223,450 111,725 335,176 167,588 83,794 41,897 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083 477,250 238,625 715,876 357,938 178,969 536,908 268,454 134,227 402,682 201,341 604,024 302,012 151,006 75,503 226,510 113,255 339,766 169,883 509,650 254,825 764,476

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