λ
Sigma Notebook

3,778,209

32 × 419801
Deficient Odd Composite

3,778,209 is odd and not a perfect square. Its factorization is 3^2 × 419801 and its 6 divisors sum to 5,457,426.

Prime Factor Structure

Factorization String 3^2 × 419801
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,457,426
Proper Divisor Sum 1,679,217
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3778163 ← → #3778213

Radix Representation

Decimal 3778209
Binary 1110011010011010100001 (22 bits)
Octal 0o16323241
Hexadecimal 0x39A6A1

Divisor Catalog (6)

1 3 9 419,801 1,259,403 3,778,209

Collatz Trajectory (203 steps to reach 1)

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

3,778,209 11,334,628 5,667,314 2,833,657 8,500,972 4,250,486 2,125,243 6,375,730 3,187,865 9,563,596 4,781,798 2,390,899 7,172,698 3,586,349 10,759,048 5,379,524 2,689,762 1,344,881 4,034,644 2,017,322 1,008,661 3,025,984 1,512,992 756,496 378,248 189,124 94,562 47,281 141,844 70,922 35,461 106,384 53,192 26,596 13,298 6,649 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975

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