λ
Prime Ledger

7,577,986

2 × 13 × 223 × 1307
Deficient Even Composite

7,577,986 has the prime decomposition 2 × 13 × 223 × 1307. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2 × 13 × 223 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,305,664
Proper Divisor Sum 4,727,678
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7577953 ← → #7578001

Radix Representation

Decimal 7577986
Binary 11100111010000110000010 (23 bits)
Octal 0o34720602
Hexadecimal 0x73A182

Divisor Catalog (5 of 16)

1 2 13 26 223

Collatz Trajectory (103 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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