λ
Prime Ledger

3,998,091

3 × 67 × 19891
Deficient Odd Composite

3,998,091 has the prime decomposition 3 × 67 × 19891. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 67 × 19891
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,410,624
Proper Divisor Sum 1,412,533
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3998089 ← → #3998107

Radix Representation

Decimal 3998091
Binary 1111010000000110001011 (22 bits)
Octal 0o17200613
Hexadecimal 0x3D018B

Divisor Catalog (8)

1 3 67 201 19,891 59,673 1,332,697 3,998,091

Collatz Trajectory (260 steps to reach 1)

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

3,998,091 11,994,274 5,997,137 17,991,412 8,995,706 4,497,853 13,493,560 6,746,780 3,373,390 1,686,695 5,060,086 2,530,043 7,590,130 3,795,065 11,385,196 5,692,598 2,846,299 8,538,898 4,269,449 12,808,348 6,404,174 3,202,087 9,606,262 4,803,131 14,409,394 7,204,697 21,614,092 10,807,046 5,403,523 16,210,570 8,105,285 24,315,856 12,157,928 6,078,964 3,039,482 1,519,741 4,559,224 2,279,612 1,139,806 569,903 1,709,710 854,855 2,564,566 1,282,283 3,846,850 1,923,425 5,770,276 2,885,138 1,442,569 4,327,708 2,163,854 1,081,927 3,245,782 1,622,891 4,868,674 2,434,337 7,303,012 3,651,506 1,825,753 5,477,260

More profiles

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