λ
Prime Ledger

7,681,020

22 × 3 × 5 × 313 × 409
Abundant Even Composite

7,681,020 has the prime decomposition 2^2 × 3 × 5 × 313 × 409. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 313 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,628,320
Proper Divisor Sum 13,947,300
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7681013 ← → #7681021

Radix Representation

Decimal 7681020
Binary 11101010011001111111100 (23 bits)
Octal 0o35231774
Hexadecimal 0x7533FC

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (142 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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