4,330,578

2 × 3 × 7 × 23 × 4483

Starting at 4,330,578, the Collatz iteration reaches 1 after 317 steps. The first transition is 2165289; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 4483

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,331,136

Proper Divisor Sum 6,000,558

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4330567 ← → #4330583

Radix Representation

Decimal	4330578
Binary	10000100001010001010010 (23 bits)
Octal	0o20412122
Hexadecimal	0x421452

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 4,483 8,966 13,449 26,898 31,381 62,762 94,143 103,109 188,286 206,218 309,327 618,654 721,763 1,443,526 2,165,289 4,330,578

Collatz Trajectory (317 steps to reach 1)

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

4,330,578 2,165,289 6,495,868 3,247,934 1,623,967 4,871,902 2,435,951 7,307,854 3,653,927 10,961,782 5,480,891 16,442,674 8,221,337 24,664,012 12,332,006 6,166,003 18,498,010 9,249,005 27,747,016 13,873,508 6,936,754 3,468,377 10,405,132 5,202,566 2,601,283 7,803,850 3,901,925 11,705,776 5,852,888 2,926,444 1,463,222 731,611 2,194,834 1,097,417 3,292,252 1,646,126 823,063 2,469,190 1,234,595 3,703,786 1,851,893 5,555,680 2,777,840 1,388,920 694,460 347,230 173,615 520,846 260,423 781,270 390,635 1,171,906 585,953 1,757,860 878,930 439,465 1,318,396 659,198 329,599 988,798

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