λ
Integer Codex

849,728

26 × 11 × 17 × 71
Abundant Even Composite

For 849,728, the 56 positive divisors have a total of 1,975,104. Removing 849,728 leaves 1,125,376, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 11 × 17 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,975,104
Proper Divisor Sum 1,125,376
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #849727 ← → #849731

Radix Representation

Decimal 849728
Binary 11001111011101000000 (20 bits)
Octal 0o3173500
Hexadecimal 0xCF740

Divisor Catalog (5 of 56)

1 2 4 8 11

Collatz Trajectory (51 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.

849,728 424,864 212,432 106,216 53,108

More profiles

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