6,736,834

2 × 13 × 113 × 2293

Starting at 6,736,834, the Collatz iteration reaches 1 after 134 steps. The first transition is 3368417; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 113 × 2293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,983,672

Proper Divisor Sum 4,246,838

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6736831 ← → #6736837

Radix Representation

Decimal	6736834
Binary	11001101100101111000010 (23 bits)
Octal	0o31545702
Hexadecimal	0x66CBC2

Divisor Catalog (16)

1 2 13 26 113 226 1,469 2,293 2,938 4,586 29,809 59,618 259,109 518,218 3,368,417 6,736,834

Collatz Trajectory (134 steps to reach 1)

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

6,736,834 3,368,417 10,105,252 5,052,626 2,526,313 7,578,940 3,789,470 1,894,735 5,684,206 2,842,103 8,526,310 4,263,155 12,789,466 6,394,733 19,184,200 9,592,100 4,796,050 2,398,025 7,194,076 3,597,038 1,798,519 5,395,558 2,697,779 8,093,338 4,046,669 12,140,008 6,070,004 3,035,002 1,517,501 4,552,504 2,276,252 1,138,126 569,063 1,707,190 853,595 2,560,786 1,280,393 3,841,180 1,920,590 960,295 2,880,886 1,440,443 4,321,330 2,160,665 6,481,996 3,240,998 1,620,499 4,861,498 2,430,749 7,292,248 3,646,124 1,823,062 911,531 2,734,594 1,367,297 4,101,892 2,050,946 1,025,473 3,076,420 1,538,210

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