λ
Harmonic Matrix

7,787,856

24 × 3 × 89 × 1823
Abundant Even Composite

7,787,856 has digital root 3. The neighboring primes are 7787849 and 7787861; its proper-divisor sum differs from the starting integer by 4,780,128.

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Prime Factor Structure

Factorization String 2^4 × 3 × 89 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,355,840
Proper Divisor Sum 12,567,984
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7787849 ← → #7787861

Radix Representation

Decimal 7787856
Binary 11101101101010101010000 (23 bits)
Octal 0o35552520
Hexadecimal 0x76D550

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (41 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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