λ
Sequence Observatory

2,218,836

22 × 3 × 184903
Abundant Even Composite

Starting at 2,218,836, the Collatz iteration reaches 1 after 135 steps. The first transition is 1109418; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 184903
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,177,312
Proper Divisor Sum 2,958,476
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2218831 ← → #2218837

Radix Representation

Decimal 2218836
Binary 1000011101101101010100 (22 bits)
Octal 0o10355524
Hexadecimal 0x21DB54

Divisor Catalog (12)

1 2 3 4 6 12 184,903 369,806 554,709 739,612 1,109,418 2,218,836

Collatz Trajectory (135 steps to reach 1)

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

2,218,836 1,109,418 554,709 1,664,128 832,064 416,032 208,016 104,008 52,004 26,002 13,001 39,004 19,502 9,751 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395

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