4,769,282

2 × 7 × 17 × 29 × 691

Starting at 4,769,282, the Collatz iteration reaches 1 after 118 steps. The first transition is 2384641; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 29 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,968,320

Proper Divisor Sum 4,199,038

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4769279 ← → #4769291

Radix Representation

Decimal	4769282
Binary	10010001100011000000010 (23 bits)
Octal	0o22143002
Hexadecimal	0x48C602

Divisor Catalog (32)

1 2 7 14 17 29 34 58 119 203 238 406 493 691 986 1,382 3,451 4,837 6,902 9,674 11,747 20,039 23,494 40,078 82,229 140,273 164,458 280,546 340,663 681,326 2,384,641 4,769,282

Collatz Trajectory (118 steps to reach 1)

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

4,769,282 2,384,641 7,153,924 3,576,962 1,788,481 5,365,444 2,682,722 1,341,361 4,024,084 2,012,042 1,006,021 3,018,064 1,509,032 754,516 377,258 188,629 565,888 282,944 141,472 70,736 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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