λ
Integer Codex

810,784

25 × 13 × 1949
Abundant Even Composite

For 810,784, the 24 positive divisors have a total of 1,719,900. Removing 810,784 leaves 909,116, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^5 × 13 × 1949
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,719,900
Proper Divisor Sum 909,116
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #810769 ← → #810791

Radix Representation

Decimal 810784
Binary 11000101111100100000 (20 bits)
Octal 0o3057440
Hexadecimal 0xC5F20

Divisor Catalog (5 of 24)

1 2 4 8 13

Collatz Trajectory (162 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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