λ
Prime Ledger

1,745,721

32 × 47 × 4127
Deficient Odd Composite

1,745,721 has the prime decomposition 3^2 × 47 × 4127. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 47 × 4127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,575,872
Proper Divisor Sum 830,151
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1745717 ← → #1745729

Radix Representation

Decimal 1745721
Binary 110101010001100111001 (21 bits)
Octal 0o6521471
Hexadecimal 0x1AA339

Divisor Catalog (5 of 12)

1 3 9 47 141

Collatz Trajectory (127 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.

1,745,721 5,237,164 2,618,582 1,309,291 3,927,874

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