λ
Sequence Observatory

2,117,865

3 × 5 × 271 × 521
Deficient Odd Composite

Starting at 2,117,865, the Collatz iteration reaches 1 after 166 steps. The first transition is 6353596; the starting value is odd with 16 positive divisors.

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Prime Factor Structure

Factorization String 3 × 5 × 271 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,407,616
Proper Divisor Sum 1,289,751
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2117861 ← → #2117887

Radix Representation

Decimal 2117865
Binary 1000000101000011101001 (22 bits)
Octal 0o10050351
Hexadecimal 0x2050E9

Divisor Catalog (5 of 16)

1 3 5 15 271

Collatz Trajectory (166 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.

2,117,865 6,353,596 3,176,798 1,588,399 4,765,198

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