λ
Sigma Notebook

5,009,511

3 × 13 × 128449
Deficient Odd Composite

5,009,511 is odd and not a perfect square. Its factorization is 3 × 13 × 128449 and its 8 divisors sum to 7,193,200.

Prime Factor Structure

Factorization String 3 × 13 × 128449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,193,200
Proper Divisor Sum 2,183,689
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5009497 ← → #5009519

Radix Representation

Decimal 5009511
Binary 10011000111000001100111 (23 bits)
Octal 0o23070147
Hexadecimal 0x4C7067

Divisor Catalog (8)

1 3 13 39 128,449 385,347 1,669,837 5,009,511

Collatz Trajectory (206 steps to reach 1)

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

5,009,511 15,028,534 7,514,267 22,542,802 11,271,401 33,814,204 16,907,102 8,453,551 25,360,654 12,680,327 38,040,982 19,020,491 57,061,474 28,530,737 85,592,212 42,796,106 21,398,053 64,194,160 32,097,080 16,048,540 8,024,270 4,012,135 12,036,406 6,018,203 18,054,610 9,027,305 27,081,916 13,540,958 6,770,479 20,311,438 10,155,719 30,467,158 15,233,579 45,700,738 22,850,369 68,551,108 34,275,554 17,137,777 51,413,332 25,706,666 12,853,333 38,560,000 19,280,000 9,640,000 4,820,000 2,410,000 1,205,000 602,500 301,250 150,625 451,876 225,938 112,969 338,908 169,454 84,727 254,182 127,091 381,274 190,637

More profiles

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