6,404,834

2 × 419 × 7643

Starting at 6,404,834, the Collatz iteration reaches 1 after 95 steps. The first transition is 3202417; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 419 × 7643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,631,440

Proper Divisor Sum 3,226,606

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6404819 ← → #6404837

Radix Representation

Decimal	6404834
Binary	11000011011101011100010 (23 bits)
Octal	0o30335342
Hexadecimal	0x61BAE2

Divisor Catalog (8)

1 2 419 838 7,643 15,286 3,202,417 6,404,834

Collatz Trajectory (95 steps to reach 1)

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

6,404,834 3,202,417 9,607,252 4,803,626 2,401,813 7,205,440 3,602,720 1,801,360 900,680 450,340 225,170 112,585 337,756 168,878 84,439 253,318 126,659 379,978 189,989 569,968 284,984 142,492 71,246 35,623 106,870 53,435 160,306 80,153 240,460 120,230 60,115 180,346 90,173 270,520 135,260 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129

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