λ
Integer Codex

510,315

3 × 5 × 13 × 2617
Deficient Odd Composite

For 510,315, the 16 positive divisors have a total of 879,648. Removing 510,315 leaves 369,333, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 5 × 13 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 879,648
Proper Divisor Sum 369,333
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #510311 ← → #510319

Radix Representation

Decimal 510315
Binary 1111100100101101011 (19 bits)
Octal 0o1744553
Hexadecimal 0x7C96B

Divisor Catalog (5 of 16)

1 3 5 13 15

Collatz Trajectory (182 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.

510,315 1,530,946 765,473 2,296,420 1,148,210

More profiles

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