λ
Prime Ledger

7,979,776

28 × 7 × 61 × 73
Abundant Even Composite

7,979,776 has the prime decomposition 2^8 × 7 × 61 × 73. Its 4 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 2^8 × 7 × 61 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 18,755,744
Proper Divisor Sum 10,775,968
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #7979773 ← → #7979779

Radix Representation

Decimal 7979776
Binary 11110011100001100000000 (23 bits)
Octal 0o36341400
Hexadecimal 0x79C300

Divisor Catalog (5 of 72)

1 2 4 7 8

Collatz Trajectory (93 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.

7,979,776 3,989,888 1,994,944 997,472 498,736

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