λ
Prime Ledger

3,503,290

2 × 5 × 7 × 50047
Abundant Even Composite

3,503,290 has the prime decomposition 2 × 5 × 7 × 50047. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 50047
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,206,912
Proper Divisor Sum 3,703,622
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3503281 ← → #3503293

Radix Representation

Decimal 3503290
Binary 1101010111010010111010 (22 bits)
Octal 0o15272272
Hexadecimal 0x3574BA

Divisor Catalog (16)

1 2 5 7 10 14 35 70 50,047 100,094 250,235 350,329 500,470 700,658 1,751,645 3,503,290

Collatz Trajectory (66 steps to reach 1)

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

3,503,290 1,751,645 5,254,936 2,627,468 1,313,734 656,867 1,970,602 985,301 2,955,904 1,477,952 738,976 369,488 184,744 92,372 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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