λ
Integer Codex

4,921,005

3 × 5 × 328067
Deficient Odd Composite

For 4,921,005, the 8 positive divisors have a total of 7,873,632. Removing 4,921,005 leaves 2,952,627, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 328067
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,873,632
Proper Divisor Sum 2,952,627
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4920991 ← → #4921009

Radix Representation

Decimal 4921005
Binary 10010110001011010101101 (23 bits)
Octal 0o22613255
Hexadecimal 0x4B16AD

Divisor Catalog (8)

1 3 5 15 328,067 984,201 1,640,335 4,921,005

Collatz Trajectory (237 steps to reach 1)

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

4,921,005 14,763,016 7,381,508 3,690,754 1,845,377 5,536,132 2,768,066 1,384,033 4,152,100 2,076,050 1,038,025 3,114,076 1,557,038 778,519 2,335,558 1,167,779 3,503,338 1,751,669 5,255,008 2,627,504 1,313,752 656,876 328,438 164,219 492,658 246,329 738,988 369,494 184,747 554,242 277,121 831,364 415,682 207,841 623,524 311,762 155,881 467,644 233,822 116,911 350,734 175,367 526,102 263,051 789,154 394,577 1,183,732 591,866 295,933 887,800 443,900 221,950 110,975 332,926 166,463 499,390 249,695 749,086 374,543 1,123,630

More profiles

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