λ
Prime Ledger

2,041,690

2 × 5 × 7 × 29167
Abundant Even Composite

2,041,690 has the prime decomposition 2 × 5 × 7 × 29167. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 29167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,200,192
Proper Divisor Sum 2,158,502
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2041681 ← → #2041693

Radix Representation

Decimal 2041690
Binary 111110010011101011010 (21 bits)
Octal 0o7623532
Hexadecimal 0x1F275A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 29,167 58,334 145,835 204,169 291,670 408,338 1,020,845 2,041,690

Collatz Trajectory (65 steps to reach 1)

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

2,041,690 1,020,845 3,062,536 1,531,268 765,634 382,817 1,148,452 574,226 287,113 861,340 430,670 215,335 646,006 323,003 969,010 484,505 1,453,516 726,758 363,379 1,090,138 545,069 1,635,208 817,604 408,802 204,401 613,204 306,602 153,301 459,904 229,952 114,976 57,488 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10

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