λ
Integer Codex

1,760,200

23 × 52 × 13 × 677
Abundant Even Composite

For 1,760,200, the 48 positive divisors have a total of 4,413,780. Removing 1,760,200 leaves 2,653,580, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,413,780
Proper Divisor Sum 2,653,580
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1760173 ← → #1760203

Radix Representation

Decimal 1760200
Binary 110101101101111001000 (21 bits)
Octal 0o6555710
Hexadecimal 0x1ADBC8

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (189 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.

1,760,200 880,100 440,050 220,025 660,076

More profiles

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