λ
Sigma Notebook

2,221,337

43 × 51659
Deficient Odd Composite

2,221,337 is odd and not a perfect square. Its factorization is 43 × 51659 and its 4 divisors sum to 2,273,040.

Prime Factor Structure

Factorization String 43 × 51659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,273,040
Proper Divisor Sum 51,703
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2221333 ← → #2221343

Radix Representation

Decimal 2221337
Binary 1000011110010100011001 (22 bits)
Octal 0o10362431
Hexadecimal 0x21E519

Divisor Catalog (4)

1 43 51,659 2,221,337

Collatz Trajectory (166 steps to reach 1)

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

2,221,337 6,664,012 3,332,006 1,666,003 4,998,010 2,499,005 7,497,016 3,748,508 1,874,254 937,127 2,811,382 1,405,691 4,217,074 2,108,537 6,325,612 3,162,806 1,581,403 4,744,210 2,372,105 7,116,316 3,558,158 1,779,079 5,337,238 2,668,619 8,005,858 4,002,929 12,008,788 6,004,394 3,002,197 9,006,592 4,503,296 2,251,648 1,125,824 562,912 281,456 140,728 70,364 35,182 17,591 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544

More profiles

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