6,749,127

3² × 7 × 11 × 9739

6,749,127 has the prime decomposition 3^2 × 7 × 11 × 9739. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 9739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,155,520

Proper Divisor Sum 5,406,393

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6749117 ← → #6749129

Radix Representation

Decimal	6749127
Binary	11001101111101111000111 (23 bits)
Octal	0o31575707
Hexadecimal	0x66FBC7

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 9,739 29,217 68,173 87,651 107,129 204,519 321,387 613,557 749,903 964,161 2,249,709 6,749,127

Collatz Trajectory (165 steps to reach 1)

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

6,749,127 20,247,382 10,123,691 30,371,074 15,185,537 45,556,612 22,778,306 11,389,153 34,167,460 17,083,730 8,541,865 25,625,596 12,812,798 6,406,399 19,219,198 9,609,599 28,828,798 14,414,399 43,243,198 21,621,599 64,864,798 32,432,399 97,297,198 48,648,599 145,945,798 72,972,899 218,918,698 109,459,349 328,378,048 164,189,024 82,094,512 41,047,256 20,523,628 10,261,814 5,130,907 15,392,722 7,696,361 23,089,084 11,544,542 5,772,271 17,316,814 8,658,407 25,975,222 12,987,611 38,962,834 19,481,417 58,444,252 29,222,126 14,611,063 43,833,190 21,916,595 65,749,786 32,874,893 98,624,680 49,312,340 24,656,170 12,328,085 36,984,256 18,492,128 9,246,064

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