λ
Prime Ledger

2,005,990

2 × 5 × 7 × 28657
Abundant Even Composite

2,005,990 has the prime decomposition 2 × 5 × 7 × 28657. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 28657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,126,752
Proper Divisor Sum 2,120,762
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2005981 ← → #2006009

Radix Representation

Decimal 2005990
Binary 111101001101111100110 (21 bits)
Octal 0o7515746
Hexadecimal 0x1E9BE6

Divisor Catalog (16)

1 2 5 7 10 14 35 70 28,657 57,314 143,285 200,599 286,570 401,198 1,002,995 2,005,990

Collatz Trajectory (65 steps to reach 1)

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

2,005,990 1,002,995 3,008,986 1,504,493 4,513,480 2,256,740 1,128,370 564,185 1,692,556 846,278 423,139 1,269,418 634,709 1,904,128 952,064 476,032 238,016 119,008 59,504 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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