λ
Prime Ledger

2,106,471

3 × 797 × 881
Deficient Odd Composite

2,106,471 has the prime decomposition 3 × 797 × 881. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 797 × 881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,815,344
Proper Divisor Sum 708,873
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2106463 ← → #2106479

Radix Representation

Decimal 2106471
Binary 1000000010010001100111 (22 bits)
Octal 0o10022147
Hexadecimal 0x202467

Divisor Catalog (8)

1 3 797 881 2,391 2,643 702,157 2,106,471

Collatz Trajectory (272 steps to reach 1)

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

2,106,471 6,319,414 3,159,707 9,479,122 4,739,561 14,218,684 7,109,342 3,554,671 10,664,014 5,332,007 15,996,022 7,998,011 23,994,034 11,997,017 35,991,052 17,995,526 8,997,763 26,993,290 13,496,645 40,489,936 20,244,968 10,122,484 5,061,242 2,530,621 7,591,864 3,795,932 1,897,966 948,983 2,846,950 1,423,475 4,270,426 2,135,213 6,405,640 3,202,820 1,601,410 800,705 2,402,116 1,201,058 600,529 1,801,588 900,794 450,397 1,351,192 675,596 337,798 168,899 506,698 253,349 760,048 380,024 190,012 95,006 47,503 142,510 71,255 213,766 106,883 320,650 160,325 480,976

More profiles

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