λ
Modular Archive

3,115,009

3115009
Deficient Odd Prime

The decimal integer 3,115,009 is 1011111000100000000001 in binary (22 bits), 13704001 in octal and 2F8801 in hexadecimal. Its digit sum is 19.

Prime Factor Structure

Factorization String 3115009
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,115,010
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3115003 ← → #3115027

Radix Representation

Decimal 3115009
Binary 1011111000100000000001 (22 bits)
Octal 0o13704001
Hexadecimal 0x2F8801

Divisor Catalog (2)

Collatz Trajectory (156 steps to reach 1)

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

3,115,009 9,345,028 4,672,514 2,336,257 7,008,772 3,504,386 1,752,193 5,256,580 2,628,290 1,314,145 3,942,436 1,971,218 985,609 2,956,828 1,478,414 739,207 2,217,622 1,108,811 3,326,434 1,663,217 4,989,652 2,494,826 1,247,413 3,742,240 1,871,120 935,560 467,780 233,890 116,945 350,836 175,418 87,709 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444 31,222 15,611 46,834 23,417 70,252 35,126 17,563 52,690 26,345 79,036 39,518 19,759

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