λ
Sequence Observatory

2,729,072

24 × 281 × 607
Deficient Even Composite

Starting at 2,729,072, the Collatz iteration reaches 1 after 112 steps. The first transition is 1364536; the starting value is even with 20 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 281 × 607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,315,136
Proper Divisor Sum 2,586,064
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2729071 ← → #2729087

Radix Representation

Decimal 2729072
Binary 1010011010010001110000 (22 bits)
Octal 0o12322160
Hexadecimal 0x29A470

Divisor Catalog (5 of 20)

1 2 4 8 16

Collatz Trajectory (112 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.

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