λ
Integer Codex

8,632,517

19 × 29 × 15667
Deficient Odd Composite

For 8,632,517, the 8 positive divisors have a total of 9,400,800. Removing 8,632,517 leaves 768,283, which gives the deficient classification.

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Prime Factor Structure

Factorization String 19 × 29 × 15667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,400,800
Proper Divisor Sum 768,283
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8632513 ← → #8632523

Radix Representation

Decimal 8632517
Binary 100000111011100011000101 (24 bits)
Octal 0o40734305
Hexadecimal 0x83B8C5

Divisor Catalog (5 of 8)

1 19 29 551 15,667

Collatz Trajectory (212 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.

8,632,517 25,897,552 12,948,776 6,474,388 3,237,194

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