5,218,296

2³ × 3 × 217429

Starting at 5,218,296, the Collatz iteration reaches 1 after 157 steps. The first transition is 2609148; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 217429

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,045,800

Proper Divisor Sum 7,827,504

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5218277 ← → #5218307

Radix Representation

Decimal	5218296
Binary	10011111001111111111000 (23 bits)
Octal	0o23717770
Hexadecimal	0x4F9FF8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 217,429 434,858 652,287 869,716 1,304,574 1,739,432 2,609,148 5,218,296

Collatz Trajectory (157 steps to reach 1)

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

5,218,296 2,609,148 1,304,574 652,287 1,956,862 978,431 2,935,294 1,467,647 4,402,942 2,201,471 6,604,414 3,302,207 9,906,622 4,953,311 14,859,934 7,429,967 22,289,902 11,144,951 33,434,854 16,717,427 50,152,282 25,076,141 75,228,424 37,614,212 18,807,106 9,403,553 28,210,660 14,105,330 7,052,665 21,157,996 10,578,998 5,289,499 15,868,498 7,934,249 23,802,748 11,901,374 5,950,687 17,852,062 8,926,031 26,778,094 13,389,047 40,167,142 20,083,571 60,250,714 30,125,357 90,376,072 45,188,036 22,594,018 11,297,009 33,891,028 16,945,514 8,472,757 25,418,272 12,709,136 6,354,568 3,177,284 1,588,642 794,321 2,382,964 1,191,482

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