λ
Sequence Observatory

2,006,972

22 × 11 × 45613
Deficient Even Composite

Starting at 2,006,972, the Collatz iteration reaches 1 after 91 steps. The first transition is 1003486; the starting value is even with 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 11 × 45613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,831,576
Proper Divisor Sum 1,824,604
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2006959 ← → #2007001

Radix Representation

Decimal 2006972
Binary 111101001111110111100 (21 bits)
Octal 0o7517674
Hexadecimal 0x1E9FBC

Divisor Catalog (5 of 12)

1 2 4 11 22

Collatz Trajectory (91 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

2,006,972 1,003,486 501,743 1,505,230 752,615

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