λ
Harmonic Matrix

4,443,813

32 × 11 × 44887
Deficient Odd Composite

4,443,813 has digital root 9. The neighboring primes are 4443809 and 4443827; its proper-divisor sum differs from the starting integer by -1,885,098.

Prime Factor Structure

Factorization String 3^2 × 11 × 44887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,002,528
Proper Divisor Sum 2,558,715
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4443809 ← → #4443827

Radix Representation

Decimal 4443813
Binary 10000111100111010100101 (23 bits)
Octal 0o20747245
Hexadecimal 0x43CEA5

Divisor Catalog (12)

1 3 9 11 33 99 44,887 134,661 403,983 493,757 1,481,271 4,443,813

Collatz Trajectory (123 steps to reach 1)

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

4,443,813 13,331,440 6,665,720 3,332,860 1,666,430 833,215 2,499,646 1,249,823 3,749,470 1,874,735 5,624,206 2,812,103 8,436,310 4,218,155 12,654,466 6,327,233 18,981,700 9,490,850 4,745,425 14,236,276 7,118,138 3,559,069 10,677,208 5,338,604 2,669,302 1,334,651 4,003,954 2,001,977 6,005,932 3,002,966 1,501,483 4,504,450 2,252,225 6,756,676 3,378,338 1,689,169 5,067,508 2,533,754 1,266,877 3,800,632 1,900,316 950,158 475,079 1,425,238 712,619 2,137,858 1,068,929 3,206,788 1,603,394 801,697 2,405,092 1,202,546 601,273 1,803,820 901,910 450,955 1,352,866 676,433 2,029,300 1,014,650

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