λ
Integer Codex

816,640

29 × 5 × 11 × 29
Abundant Even Composite

For 816,640, the 80 positive divisors have a total of 2,209,680. Removing 816,640 leaves 1,393,040, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^9 × 5 × 11 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 2,209,680
Proper Divisor Sum 1,393,040
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #816593 ← → #816649

Radix Representation

Decimal 816640
Binary 11000111011000000000 (20 bits)
Octal 0o3073000
Hexadecimal 0xC7600

Divisor Catalog (5 of 80)

1 2 4 5 8

Collatz Trajectory (82 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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