λ
Integer Codex

7,708,382

2 × 11 × 350381
Deficient Even Composite

For 7,708,382, the 8 positive divisors have a total of 12,613,752. Removing 7,708,382 leaves 4,905,370, which gives the deficient classification.

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Prime Factor Structure

Factorization String 2 × 11 × 350381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,613,752
Proper Divisor Sum 4,905,370
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7708333 ← → #7708397

Radix Representation

Decimal 7708382
Binary 11101011001111011011110 (23 bits)
Octal 0o35317336
Hexadecimal 0x759EDE

Divisor Catalog (5 of 8)

1 2 11 22 350,381

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.

7,708,382 3,854,191 11,562,574 5,781,287 17,343,862

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