λ
Prime Ledger

1,843,623

32 × 79 × 2593
Deficient Odd Composite

1,843,623 has the prime decomposition 3^2 × 79 × 2593. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 79 × 2593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,697,760
Proper Divisor Sum 854,137
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1843619 ← → #1843631

Radix Representation

Decimal 1843623
Binary 111000010000110100111 (21 bits)
Octal 0o7020647
Hexadecimal 0x1C21A7

Divisor Catalog (12)

1 3 9 79 237 711 2,593 7,779 23,337 204,847 614,541 1,843,623

Collatz Trajectory (163 steps to reach 1)

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

1,843,623 5,530,870 2,765,435 8,296,306 4,148,153 12,444,460 6,222,230 3,111,115 9,333,346 4,666,673 14,000,020 7,000,010 3,500,005 10,500,016 5,250,008 2,625,004 1,312,502 656,251 1,968,754 984,377 2,953,132 1,476,566 738,283 2,214,850 1,107,425 3,322,276 1,661,138 830,569 2,491,708 1,245,854 622,927 1,868,782 934,391 2,803,174 1,401,587 4,204,762 2,102,381 6,307,144 3,153,572 1,576,786 788,393 2,365,180 1,182,590 591,295 1,773,886 886,943 2,660,830 1,330,415 3,991,246 1,995,623 5,986,870 2,993,435 8,980,306 4,490,153 13,470,460 6,735,230 3,367,615 10,102,846 5,051,423 15,154,270

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