λ
Harmonic Matrix

779,898

2 × 3 × 7 × 31 × 599
Abundant Even Composite

779,898 has digital root 3. The neighboring primes are 779887 and 779899; its proper-divisor sum differs from the starting integer by 283,404.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,843,200
Proper Divisor Sum 1,063,302
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #779887 ← → #779899

Radix Representation

Decimal 779898
Binary 10111110011001111010 (20 bits)
Octal 0o2763172
Hexadecimal 0xBE67A

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (87 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.

779,898 389,949 1,169,848 584,924 292,462

More profiles

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