λ
Integer Codex

506,541

3 × 7 × 24121
Deficient Odd Composite

For 506,541, the 8 positive divisors have a total of 771,904. Removing 506,541 leaves 265,363, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 7 × 24121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 771,904
Proper Divisor Sum 265,363
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #506537 ← → #506551

Radix Representation

Decimal 506541
Binary 1111011101010101101 (19 bits)
Octal 0o1735255
Hexadecimal 0x7BAAD

Divisor Catalog (5 of 8)

1 3 7 21 24,121

Collatz Trajectory (226 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.

506,541 1,519,624 759,812 379,906 189,953

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