λ
Prime Ledger

977,740

22 × 5 × 19 × 31 × 83
Abundant Even Composite

977,740 has the prime decomposition 2^2 × 5 × 19 × 31 × 83. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 31 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,257,920
Proper Divisor Sum 1,280,180
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #977723 ← → #977747

Radix Representation

Decimal 977740
Binary 11101110101101001100 (20 bits)
Octal 0o3565514
Hexadecimal 0xEEB4C

Divisor Catalog (5 of 48)

1 2 4 5 10

Collatz Trajectory (90 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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