λ
Prime Ledger

7,757,271

32 × 227 × 3797
Deficient Odd Composite

7,757,271 has the prime decomposition 3^2 × 227 × 3797. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 227 × 3797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,257,272
Proper Divisor Sum 3,500,001
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7757257 ← → #7757293

Radix Representation

Decimal 7757271
Binary 11101100101110111010111 (23 bits)
Octal 0o35456727
Hexadecimal 0x765DD7

Divisor Catalog (5 of 12)

1 3 9 227 681

Collatz Trajectory (54 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.

7,757,271 23,271,814 11,635,907 34,907,722 17,453,861

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