λ
Integer Codex

8,126,509

19 × 427711
Deficient Odd Composite

For 8,126,509, the 4 positive divisors have a total of 8,554,240. Removing 8,126,509 leaves 427,731, which gives the deficient classification.

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Prime Factor Structure

Factorization String 19 × 427711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,554,240
Proper Divisor Sum 427,731
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8126491 ← → #8126513

Radix Representation

Decimal 8126509
Binary 11111000000000000101101 (23 bits)
Octal 0o37000055
Hexadecimal 0x7C002D

Divisor Catalog (4)

1 19 427,711 8,126,509

Collatz Trajectory (85 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.

8,126,509 24,379,528 12,189,764 6,094,882 3,047,441

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