6,741,193

823 × 8191

Starting at 6,741,193, the Collatz iteration reaches 1 after 209 steps. The first transition is 20223580; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 823 × 8191

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,750,208

Proper Divisor Sum 9,015

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6741173 ← → #6741221

Radix Representation

Decimal	6741193
Binary	11001101101110011001001 (23 bits)
Octal	0o31556311
Hexadecimal	0x66DCC9

Divisor Catalog (4)

1 823 8,191 6,741,193

Collatz Trajectory (209 steps to reach 1)

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

6,741,193 20,223,580 10,111,790 5,055,895 15,167,686 7,583,843 22,751,530 11,375,765 34,127,296 17,063,648 8,531,824 4,265,912 2,132,956 1,066,478 533,239 1,599,718 799,859 2,399,578 1,199,789 3,599,368 1,799,684 899,842 449,921 1,349,764 674,882 337,441 1,012,324 506,162 253,081 759,244 379,622 189,811 569,434 284,717 854,152 427,076 213,538 106,769 320,308 160,154 80,077 240,232 120,116 60,058 30,029 90,088 45,044 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766

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