λ
Harmonic Matrix

7,799,844

22 × 3 × 13 × 49999
Abundant Even Composite

7,799,844 has digital root 3. The neighboring primes are 7799843 and 7799849; its proper-divisor sum differs from the starting integer by 4,000,312.

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Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 49999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,600,000
Proper Divisor Sum 11,800,156
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7799843 ← → #7799849

Radix Representation

Decimal 7799844
Binary 11101110000010000100100 (23 bits)
Octal 0o35602044
Hexadecimal 0x770424

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (155 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.

7,799,844 3,899,922 1,949,961 5,849,884 2,924,942

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