λ
Integer Codex

115,797

3 × 113 × 29
Deficient Odd Composite

For 115,797, the 16 positive divisors have a total of 175,680. Removing 115,797 leaves 59,883, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 11^3 × 29
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 175,680
Proper Divisor Sum 59,883
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #115793 ← → #115807

Radix Representation

Decimal 115797
Binary 11100010001010101 (17 bits)
Octal 0o342125
Hexadecimal 0x1C455

Divisor Catalog (5 of 16)

1 3 11 29 33

Collatz Trajectory (61 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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