λ
Integer Codex

531,963

32 × 59107
Deficient Odd Composite

For 531,963, the 6 positive divisors have a total of 768,404. Removing 531,963 leaves 236,441, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 59107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 768,404
Proper Divisor Sum 236,441
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #531919 ← → #531977

Radix Representation

Decimal 531963
Binary 10000001110111111011 (20 bits)
Octal 0o2016773
Hexadecimal 0x81DFB

Divisor Catalog (5 of 6)

1 3 9 59,107 177,321

Collatz Trajectory (120 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.

531,963 1,595,890 797,945 2,393,836 1,196,918

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