λ
Ratio Atlas

8,209,290

2 × 3 × 5 × 273643
Abundant Even Composite

8,209,290 factors as 2 × 3 × 5 × 273643. Its 16 positive divisors give a proper-divisor sum of 11,493,078, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 273643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,702,368
Proper Divisor Sum 11,493,078
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8209277 ← → #8209297

Radix Representation

Decimal 8209290
Binary 11111010100001110001010 (23 bits)
Octal 0o37241612
Hexadecimal 0x7D438A

Divisor Catalog (16)

1 2 3 5 6 10 15 30 273,643 547,286 820,929 1,368,215 1,641,858 2,736,430 4,104,645 8,209,290

Collatz Trajectory (54 steps to reach 1)

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

8,209,290 4,104,645 12,313,936 6,156,968 3,078,484 1,539,242 769,621 2,308,864 1,154,432 577,216 288,608 144,304 72,152 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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