λ
Sequence Observatory

2,813,270

2 × 5 × 281327
Deficient Even Composite

Starting at 2,813,270, the Collatz iteration reaches 1 after 218 steps. The first transition is 1406635; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 281327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,063,904
Proper Divisor Sum 2,250,634
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2813267 ← → #2813287

Radix Representation

Decimal 2813270
Binary 1010101110110101010110 (22 bits)
Octal 0o12566526
Hexadecimal 0x2AED56

Divisor Catalog (8)

1 2 5 10 281,327 562,654 1,406,635 2,813,270

Collatz Trajectory (218 steps to reach 1)

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

2,813,270 1,406,635 4,219,906 2,109,953 6,329,860 3,164,930 1,582,465 4,747,396 2,373,698 1,186,849 3,560,548 1,780,274 890,137 2,670,412 1,335,206 667,603 2,002,810 1,001,405 3,004,216 1,502,108 751,054 375,527 1,126,582 563,291 1,689,874 844,937 2,534,812 1,267,406 633,703 1,901,110 950,555 2,851,666 1,425,833 4,277,500 2,138,750 1,069,375 3,208,126 1,604,063 4,812,190 2,406,095 7,218,286 3,609,143 10,827,430 5,413,715 16,241,146 8,120,573 24,361,720 12,180,860 6,090,430 3,045,215 9,135,646 4,567,823 13,703,470 6,851,735 20,555,206 10,277,603 30,832,810 15,416,405 46,249,216 23,124,608

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