4,630,296

2³ × 3 × 11 × 17539

Starting at 4,630,296, the Collatz iteration reaches 1 after 193 steps. The first transition is 2315148; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 17539

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,628,800

Proper Divisor Sum 7,998,504

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4630277 ← → #4630309

Radix Representation

Decimal	4630296
Binary	10001101010011100011000 (23 bits)
Octal	0o21523430
Hexadecimal	0x46A718

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 17,539 35,078 52,617 70,156 105,234 140,312 192,929 210,468 385,858 420,936 578,787 771,716 1,157,574 1,543,432 2,315,148 4,630,296

Collatz Trajectory (193 steps to reach 1)

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

4,630,296 2,315,148 1,157,574 578,787 1,736,362 868,181 2,604,544 1,302,272 651,136 325,568 162,784 81,392 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898

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