6,743,007

3⁵ × 27749

Prime Factor Structure

Factorization String 3^5 × 27749

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,101,000

Proper Divisor Sum 3,357,993

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6742997 ← → #6743017

Radix Representation

Decimal	6743007
Binary	11001101110001111011111 (23 bits)
Octal	0o31561737
Hexadecimal	0x66E3DF

Divisor Catalog (12)

1 3 9 27 81 243 27,749 83,247 249,741 749,223 2,247,669 6,743,007

Collatz Trajectory (209 steps to reach 1)

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

6,743,007 20,229,022 10,114,511 30,343,534 15,171,767 45,515,302 22,757,651 68,272,954 34,136,477 102,409,432 51,204,716 25,602,358 12,801,179 38,403,538 19,201,769 57,605,308 28,802,654 14,401,327 43,203,982 21,601,991 64,805,974 32,402,987 97,208,962 48,604,481 145,813,444 72,906,722 36,453,361 109,360,084 54,680,042 27,340,021 82,020,064 41,010,032 20,505,016 10,252,508 5,126,254 2,563,127 7,689,382 3,844,691 11,534,074 5,767,037 17,301,112 8,650,556 4,325,278 2,162,639 6,487,918 3,243,959 9,731,878 4,865,939 14,597,818 7,298,909 21,896,728 10,948,364 5,474,182 2,737,091 8,211,274 4,105,637 12,316,912 6,158,456 3,079,228 1,539,614

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