λ
Prime Ledger

3,311,990

2 × 5 × 11 × 30109
Deficient Even Composite

3,311,990 has the prime decomposition 2 × 5 × 11 × 30109. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 30109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,503,760
Proper Divisor Sum 3,191,770
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3311983 ← → #3311999

Radix Representation

Decimal 3311990
Binary 1100101000100101110110 (22 bits)
Octal 0o14504566
Hexadecimal 0x328976

Divisor Catalog (16)

1 2 5 10 11 22 55 110 30,109 60,218 150,545 301,090 331,199 662,398 1,655,995 3,311,990

Collatz Trajectory (239 steps to reach 1)

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

3,311,990 1,655,995 4,967,986 2,483,993 7,451,980 3,725,990 1,862,995 5,588,986 2,794,493 8,383,480 4,191,740 2,095,870 1,047,935 3,143,806 1,571,903 4,715,710 2,357,855 7,073,566 3,536,783 10,610,350 5,305,175 15,915,526 7,957,763 23,873,290 11,936,645 35,809,936 17,904,968 8,952,484 4,476,242 2,238,121 6,714,364 3,357,182 1,678,591 5,035,774 2,517,887 7,553,662 3,776,831 11,330,494 5,665,247 16,995,742 8,497,871 25,493,614 12,746,807 38,240,422 19,120,211 57,360,634 28,680,317 86,040,952 43,020,476 21,510,238 10,755,119 32,265,358 16,132,679 48,398,038 24,199,019 72,597,058 36,298,529 108,895,588 54,447,794 27,223,897

More profiles

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