λ
Integer Codex

1,656,369

34 × 112 × 132
Deficient Odd Composite Square (√ = 1287)

For 1,656,369, the 45 positive divisors have a total of 2,945,019. Removing 1,656,369 leaves 1,288,650, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^4 × 11^2 × 13^2
Distinct Prime Factors 3
Square Status Yes (√1656369 = 1287)
Abundance Measure Deficient

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 2,945,019
Proper Divisor Sum 1,288,650
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1656367 ← → #1656383

Radix Representation

Decimal 1656369
Binary 110010100011000110001 (21 bits)
Octal 0o6243061
Hexadecimal 0x194631

Divisor Catalog (5 of 45)

1 3 9 11 13

Collatz Trajectory (88 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.

1,656,369 4,969,108 2,484,554 1,242,277 3,726,832

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