λ
Integer Codex

8,147,727

32 × 7 × 23 × 5623
Deficient Odd Composite

For 8,147,727, the 24 positive divisors have a total of 14,037,504. Removing 8,147,727 leaves 5,889,777, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 5623
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,037,504
Proper Divisor Sum 5,889,777
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8147717 ← → #8147759

Radix Representation

Decimal 8147727
Binary 11111000101001100001111 (23 bits)
Octal 0o37051417
Hexadecimal 0x7C530F

Divisor Catalog (5 of 24)

1 3 7 9 21

Collatz Trajectory (111 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.

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