λ
Modular Archive

3,007,059

3 × 11 × 293 × 311
Deficient Odd Composite

The decimal integer 3,007,059 is 1011011110001001010011 in binary (22 bits), 13361123 in octal and 2DE253 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 3 × 11 × 293 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,402,944
Proper Divisor Sum 1,395,885
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3007057 ← → #3007091

Radix Representation

Decimal 3007059
Binary 1011011110001001010011 (22 bits)
Octal 0o13361123
Hexadecimal 0x2DE253

Divisor Catalog (16)

1 3 11 33 293 311 879 933 3,223 3,421 9,669 10,263 91,123 273,369 1,002,353 3,007,059

Collatz Trajectory (164 steps to reach 1)

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

3,007,059 9,021,178 4,510,589 13,531,768 6,765,884 3,382,942 1,691,471 5,074,414 2,537,207 7,611,622 3,805,811 11,417,434 5,708,717 17,126,152 8,563,076 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 16,478,315 49,434,946 24,717,473

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