λ
Integer Codex

7,684,176

24 × 3 × 160087
Abundant Even Composite

For 7,684,176, the 20 positive divisors have a total of 19,850,912. Removing 7,684,176 leaves 12,166,736, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 3 × 160087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,850,912
Proper Divisor Sum 12,166,736
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7684169 ← → #7684207

Radix Representation

Decimal 7684176
Binary 11101010100000001010000 (23 bits)
Octal 0o35240120
Hexadecimal 0x754050

Divisor Catalog (5 of 20)

1 2 3 4 6

Collatz Trajectory (72 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.

7,684,176 3,842,088 1,921,044 960,522 480,261

More profiles

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