4,921,938

2 × 3³ × 7 × 29 × 449

Starting at 4,921,938, the Collatz iteration reaches 1 after 237 steps. The first transition is 2460969; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 29 × 449

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,960,000

Proper Divisor Sum 8,038,062

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4921921 ← → #4921949

Radix Representation

Decimal	4921938
Binary	10010110001101001010010 (23 bits)
Octal	0o22615122
Hexadecimal	0x4B1A52

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 449 522 609 783 898 1,218 1,347 1,566 1,827 2,694 3,143 3,654 4,041 5,481 6,286 8,082 9,429 10,962 12,123 13,021 18,858 24,246 26,042 28,287 39,063 56,574 78,126 84,861 91,147 117,189 169,722 182,294 234,378 273,441 351,567 546,882 703,134

Collatz Trajectory (237 steps to reach 1)

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

4,921,938 2,460,969 7,382,908 3,691,454 1,845,727 5,537,182 2,768,591 8,305,774 4,152,887 12,458,662 6,229,331 18,687,994 9,343,997 28,031,992 14,015,996 7,007,998 3,503,999 10,511,998 5,255,999 15,767,998 7,883,999 23,651,998 11,825,999 35,477,998 17,738,999 53,216,998 26,608,499 79,825,498 39,912,749 119,738,248 59,869,124 29,934,562 14,967,281 44,901,844 22,450,922 11,225,461 33,676,384 16,838,192 8,419,096 4,209,548 2,104,774 1,052,387 3,157,162 1,578,581 4,735,744 2,367,872 1,183,936 591,968 295,984 147,992 73,996 36,998 18,499 55,498 27,749 83,248 41,624 20,812 10,406 5,203

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