λ
Prime Ledger

6,823,209

3 × 599 × 3797
Deficient Odd Composite

6,823,209 has the prime decomposition 3 × 599 × 3797. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 599 × 3797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,115,200
Proper Divisor Sum 2,291,991
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6823199 ← → #6823241

Radix Representation

Decimal 6823209
Binary 11010000001110100101001 (23 bits)
Octal 0o32016451
Hexadecimal 0x681D29

Divisor Catalog (8)

1 3 599 1,797 3,797 11,391 2,274,403 6,823,209

Collatz Trajectory (222 steps to reach 1)

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

6,823,209 20,469,628 10,234,814 5,117,407 15,352,222 7,676,111 23,028,334 11,514,167 34,542,502 17,271,251 51,813,754 25,906,877 77,720,632 38,860,316 19,430,158 9,715,079 29,145,238 14,572,619 43,717,858 21,858,929 65,576,788 32,788,394 16,394,197 49,182,592 24,591,296 12,295,648 6,147,824 3,073,912 1,536,956 768,478 384,239 1,152,718 576,359 1,729,078 864,539 2,593,618 1,296,809 3,890,428 1,945,214 972,607 2,917,822 1,458,911 4,376,734 2,188,367 6,565,102 3,282,551 9,847,654 4,923,827 14,771,482 7,385,741 22,157,224 11,078,612 5,539,306 2,769,653 8,308,960 4,154,480 2,077,240 1,038,620 519,310 259,655

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