λ
Integer Codex

7,696,377

34 × 13 × 7309
Deficient Odd Composite

For 7,696,377, the 20 positive divisors have a total of 12,383,140. Removing 7,696,377 leaves 4,686,763, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^4 × 13 × 7309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,383,140
Proper Divisor Sum 4,686,763
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7696369 ← → #7696411

Radix Representation

Decimal 7696377
Binary 11101010110111111111001 (23 bits)
Octal 0o35267771
Hexadecimal 0x756FF9

Divisor Catalog (5 of 20)

1 3 9 13 27

Collatz Trajectory (129 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.

7,696,377 23,089,132 11,544,566 5,772,283 17,316,850

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