λ
Harmonic Matrix

7,825,962

2 × 3 × 223 × 5849
Abundant Even Composite

7,825,962 has digital root 3. The neighboring primes are 7825949 and 7825973; its proper-divisor sum differs from the starting integer by 72,876.

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Prime Factor Structure

Factorization String 2 × 3 × 223 × 5849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,724,800
Proper Divisor Sum 7,898,838
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7825949 ← → #7825973

Radix Representation

Decimal 7825962
Binary 11101110110101000101010 (23 bits)
Octal 0o35665052
Hexadecimal 0x776A2A

Divisor Catalog (5 of 16)

1 2 3 6 223

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.

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