λ
Sequence Observatory

7,777,289

13 × 19 × 23 × 372
Deficient Odd Composite

Starting at 7,777,289, the Collatz iteration reaches 1 after 142 steps. The first transition is 23331868; the starting value is odd with 24 positive divisors.

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Prime Factor Structure

Factorization String 13 × 19 × 23 × 37^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,455,040
Proper Divisor Sum 1,677,751
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7777283 ← → #7777291

Radix Representation

Decimal 7777289
Binary 11101101010110000001001 (23 bits)
Octal 0o35526011
Hexadecimal 0x76AC09

Divisor Catalog (5 of 24)

1 13 19 23 37

Collatz Trajectory (142 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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