λ
Prime Ledger

5,976,768

26 × 3 × 7 × 4447
Abundant Even Composite

5,976,768 has the prime decomposition 2^6 × 3 × 7 × 4447. Its 4 distinct prime factors produce 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 4447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,076,672
Proper Divisor Sum 12,099,904
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5976749 ← → #5976787

Radix Representation

Decimal 5976768
Binary 10110110011001011000000 (23 bits)
Octal 0o26631300
Hexadecimal 0x5B32C0

Divisor Catalog (56)

Collatz Trajectory (90 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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