6,424,326

2 × 3³ × 271 × 439

Starting at 6,424,326, the Collatz iteration reaches 1 after 121 steps. The first transition is 3212163; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 271 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,361,600

Proper Divisor Sum 7,937,274

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6424309 ← → #6424343

Radix Representation

Decimal	6424326
Binary	11000100000011100000110 (23 bits)
Octal	0o30403406
Hexadecimal	0x620706

Divisor Catalog (32)

1 2 3 6 9 18 27 54 271 439 542 813 878 1,317 1,626 2,439 2,634 3,951 4,878 7,317 7,902 11,853 14,634 23,706 118,969 237,938 356,907 713,814 1,070,721 2,141,442 3,212,163 6,424,326

Collatz Trajectory (121 steps to reach 1)

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

6,424,326 3,212,163 9,636,490 4,818,245 14,454,736 7,227,368 3,613,684 1,806,842 903,421 2,710,264 1,355,132 677,566 338,783 1,016,350 508,175 1,524,526 762,263 2,286,790 1,143,395 3,430,186 1,715,093 5,145,280 2,572,640 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780 180,890 90,445 271,336 135,668 67,834 33,917 101,752 50,876 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132

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