λ
Integer Codex

8,207,120

24 × 5 × 173 × 593
Abundant Even Composite

For 8,207,120, the 40 positive divisors have a total of 19,224,216. Removing 8,207,120 leaves 11,017,096, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 5 × 173 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,224,216
Proper Divisor Sum 11,017,096
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8207117 ← → #8207153

Radix Representation

Decimal 8207120
Binary 11111010011101100010000 (23 bits)
Octal 0o37235420
Hexadecimal 0x7D3B10

Divisor Catalog (5 of 40)

1 2 4 5 8

Collatz Trajectory (62 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.

8,207,120 4,103,560 2,051,780 1,025,890 512,945

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