6,749,811

3⁶ × 47 × 197

6,749,811 factors as 3^6 × 47 × 197. Its 28 positive divisors give a proper-divisor sum of 3,638,061, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^6 × 47 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 10,387,872

Proper Divisor Sum 3,638,061

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6749803 ← → #6749819

Radix Representation

Decimal	6749811
Binary	11001101111111001110011 (23 bits)
Octal	0o31577163
Hexadecimal	0x66FE73

Divisor Catalog (28)

1 3 9 27 47 81 141 197 243 423 591 729 1,269 1,773 3,807 5,319 9,259 11,421 15,957 27,777 34,263 47,871 83,331 143,613 249,993 749,979 2,249,937 6,749,811

Collatz Trajectory (108 steps to reach 1)

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

6,749,811 20,249,434 10,124,717 30,374,152 15,187,076 7,593,538 3,796,769 11,390,308 5,695,154 2,847,577 8,542,732 4,271,366 2,135,683 6,407,050 3,203,525 9,610,576 4,805,288 2,402,644 1,201,322 600,661 1,801,984 900,992 450,496 225,248 112,624 56,312 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820

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