λ
Prime Ledger

4,003,821

32 × 444869
Deficient Odd Composite

4,003,821 has the prime decomposition 3^2 × 444869. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 444869
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,783,310
Proper Divisor Sum 1,779,489
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4003819 ← → #4003841

Radix Representation

Decimal 4003821
Binary 1111010001011111101101 (22 bits)
Octal 0o17213755
Hexadecimal 0x3D17ED

Divisor Catalog (6)

1 3 9 444,869 1,334,607 4,003,821

Collatz Trajectory (141 steps to reach 1)

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

4,003,821 12,011,464 6,005,732 3,002,866 1,501,433 4,504,300 2,252,150 1,126,075 3,378,226 1,689,113 5,067,340 2,533,670 1,266,835 3,800,506 1,900,253 5,700,760 2,850,380 1,425,190 712,595 2,137,786 1,068,893 3,206,680 1,603,340 801,670 400,835 1,202,506 601,253 1,803,760 901,880 450,940 225,470 112,735 338,206 169,103 507,310 253,655 760,966 380,483 1,141,450 570,725 1,712,176 856,088 428,044 214,022 107,011 321,034 160,517 481,552 240,776 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860 16,930 8,465 25,396

More profiles

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