λ
Prime Ledger

7,577,492

22 × 13 × 145721
Deficient Even Composite

7,577,492 has the prime decomposition 2^2 × 13 × 145721. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 13 × 145721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,280,756
Proper Divisor Sum 6,703,264
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7577491 ← → #7577501

Radix Representation

Decimal 7577492
Binary 11100111001111110010100 (23 bits)
Octal 0o34717624
Hexadecimal 0x739F94

Divisor Catalog (5 of 12)

1 2 4 13 26

Collatz Trajectory (155 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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