λ
Sequence Observatory

7,911,072

25 × 32 × 13 × 2113
Abundant Even Composite

Starting at 7,911,072, the Collatz iteration reaches 1 after 67 steps. The first transition is 3955536; the starting value is even with 72 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3^2 × 13 × 2113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,239,124
Proper Divisor Sum 16,328,052
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7911067 ← → #7911077

Radix Representation

Decimal 7911072
Binary 11110001011011010100000 (23 bits)
Octal 0o36133240
Hexadecimal 0x78B6A0

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (67 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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