λ
Sequence Observatory

3,027,036

22 × 3 × 252253
Abundant Even Composite

Starting at 3,027,036, the Collatz iteration reaches 1 after 151 steps. The first transition is 1513518; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 252253
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,063,112
Proper Divisor Sum 4,036,076
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3027001 ← → #3027041

Radix Representation

Decimal 3027036
Binary 1011100011000001011100 (22 bits)
Octal 0o13430134
Hexadecimal 0x2E305C

Divisor Catalog (12)

1 2 3 4 6 12 252,253 504,506 756,759 1,009,012 1,513,518 3,027,036

Collatz Trajectory (151 steps to reach 1)

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

3,027,036 1,513,518 756,759 2,270,278 1,135,139 3,405,418 1,702,709 5,108,128 2,554,064 1,277,032 638,516 319,258 159,629 478,888 239,444 119,722 59,861 179,584 89,792 44,896 22,448 11,224 5,612 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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