λ
Integer Codex

8,147,504

24 × 19 × 26801
Abundant Even Composite

For 8,147,504, the 20 positive divisors have a total of 16,617,240. Removing 8,147,504 leaves 8,469,736, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 19 × 26801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,617,240
Proper Divisor Sum 8,469,736
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8147483 ← → #8147509

Radix Representation

Decimal 8147504
Binary 11111000101001000110000 (23 bits)
Octal 0o37051060
Hexadecimal 0x7C5230

Divisor Catalog (5 of 20)

1 2 4 8 16

Collatz Trajectory (155 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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