6,441,909

3 × 23 × 89 × 1049

Starting at 6,441,909, the Collatz iteration reaches 1 after 209 steps. The first transition is 19325728; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 89 × 1049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,072,000

Proper Divisor Sum 2,630,091

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6441907 ← → #6441917

Radix Representation

Decimal	6441909
Binary	11000100100101110110101 (23 bits)
Octal	0o30445665
Hexadecimal	0x624BB5

Divisor Catalog (16)

1 3 23 69 89 267 1,049 2,047 3,147 6,141 24,127 72,381 93,361 280,083 2,147,303 6,441,909

Collatz Trajectory (209 steps to reach 1)

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

6,441,909 19,325,728 9,662,864 4,831,432 2,415,716 1,207,858 603,929 1,811,788 905,894 452,947 1,358,842 679,421 2,038,264 1,019,132 509,566 254,783 764,350 382,175 1,146,526 573,263 1,719,790 859,895 2,579,686 1,289,843 3,869,530 1,934,765 5,804,296 2,902,148 1,451,074 725,537 2,176,612 1,088,306 544,153 1,632,460 816,230 408,115 1,224,346 612,173 1,836,520 918,260 459,130 229,565 688,696 344,348 172,174 86,087 258,262 129,131 387,394 193,697 581,092 290,546 145,273 435,820 217,910 108,955 326,866 163,433 490,300 245,150

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