λ
Integer Codex

524,002

2 × 127 × 2063
Deficient Even Composite

For 524,002, the 8 positive divisors have a total of 792,576. Removing 524,002 leaves 268,574, which gives the deficient classification.

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Prime Factor Structure

Factorization String 2 × 127 × 2063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 792,576
Proper Divisor Sum 268,574
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #523997 ← → #524047

Radix Representation

Decimal 524002
Binary 1111111111011100010 (19 bits)
Octal 0o1777342
Hexadecimal 0x7FEE2

Divisor Catalog (5 of 8)

1 2 127 254 2,063

Collatz Trajectory (133 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.

524,002 262,001 786,004 393,002 196,501

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