λ
Modular Archive

4,009,409

4009409
Deficient Odd Prime

The decimal integer 4,009,409 is 1111010010110111000001 in binary (22 bits), 17226701 in octal and 3D2DC1 in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 4009409
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,009,410
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4009391 ← → #4009417

Radix Representation

Decimal 4009409
Binary 1111010010110111000001 (22 bits)
Octal 0o17226701
Hexadecimal 0x3D2DC1

Divisor Catalog (2)

Collatz Trajectory (167 steps to reach 1)

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

4,009,409 12,028,228 6,014,114 3,007,057 9,021,172 4,510,586 2,255,293 6,765,880 3,382,940 1,691,470 845,735 2,537,206 1,268,603 3,805,810 1,902,905 5,708,716 2,854,358 1,427,179 4,281,538 2,140,769 6,422,308 3,211,154 1,605,577 4,816,732 2,408,366 1,204,183 3,612,550 1,806,275 5,418,826 2,709,413 8,128,240 4,064,120 2,032,060 1,016,030 508,015 1,524,046 762,023 2,286,070 1,143,035 3,429,106 1,714,553 5,143,660 2,571,830 1,285,915 3,857,746 1,928,873 5,786,620 2,893,310 1,446,655 4,339,966 2,169,983 6,509,950 3,254,975 9,764,926 4,882,463 14,647,390 7,323,695 21,971,086 10,985,543 32,956,630

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