λ
Harmonic Matrix

5,020,006

2 × 83 × 30241
Deficient Even Composite

5,020,006 has digital root 4. The neighboring primes are 5019997 and 5020007; its proper-divisor sum differs from the starting integer by -2,419,028.

Prime Factor Structure

Factorization String 2 × 83 × 30241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,620,984
Proper Divisor Sum 2,600,978
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #5019997 ← → #5020007

Radix Representation

Decimal 5020006
Binary 10011001001100101100110 (23 bits)
Octal 0o23114546
Hexadecimal 0x4C9966

Divisor Catalog (8)

1 2 83 166 30,241 60,482 2,510,003 5,020,006

Collatz Trajectory (131 steps to reach 1)

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

5,020,006 2,510,003 7,530,010 3,765,005 11,295,016 5,647,508 2,823,754 1,411,877 4,235,632 2,117,816 1,058,908 529,454 264,727 794,182 397,091 1,191,274 595,637 1,786,912 893,456 446,728 223,364 111,682 55,841 167,524 83,762 41,881 125,644 62,822 31,411 94,234 47,117 141,352 70,676 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

More profiles

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