λ
Prime Ledger

1,321,386

2 × 3 × 11 × 20021
Abundant Even Composite

1,321,386 has the prime decomposition 2 × 3 × 11 × 20021. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 20021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,883,168
Proper Divisor Sum 1,561,782
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1321379 ← → #1321391

Radix Representation

Decimal 1321386
Binary 101000010100110101010 (21 bits)
Octal 0o5024652
Hexadecimal 0x1429AA

Divisor Catalog (16)

1 2 3 6 11 22 33 66 20,021 40,042 60,063 120,126 220,231 440,462 660,693 1,321,386

Collatz Trajectory (124 steps to reach 1)

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

1,321,386 660,693 1,982,080 991,040 495,520 247,760 123,880 61,940 30,970 15,485 46,456 23,228 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399

More profiles

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