λ
Zalai Atlas

7,768,144

24 × 485509
Deficient Even Composite

7,768,144 has the prime decomposition 2^4 × 485509. Its 2 distinct prime factors produce 10 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 485509
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 15,050,810
Proper Divisor Sum 7,282,666
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7768141 ← → #7768171

Radix Representation

Decimal 7768144
Binary 11101101000100001010000 (23 bits)
Octal 0o35504120
Hexadecimal 0x768850

Divisor Catalog (5 of 10)

1 2 4 8 16

Collatz Trajectory (186 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.

7,768,144 3,884,072 1,942,036 971,018 485,509

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