λ
Integer Codex

7,102,593

33 × 29 × 47 × 193
Deficient Odd Composite

For 7,102,593, the 32 positive divisors have a total of 11,174,400. Removing 7,102,593 leaves 4,071,807, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^3 × 29 × 47 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,174,400
Proper Divisor Sum 4,071,807
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7102591 ← → #7102609

Radix Representation

Decimal 7102593
Binary 11011000110000010000001 (23 bits)
Octal 0o33060201
Hexadecimal 0x6C6081

Divisor Catalog (5 of 32)

1 3 9 27 29

Collatz Trajectory (121 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.

7,102,593 21,307,780 10,653,890 5,326,945 15,980,836

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