λ
Integer Codex

9,072,135

33 × 5 × 17 × 59 × 67
Deficient Odd Composite

For 9,072,135, the 64 positive divisors have a total of 17,625,600. Removing 9,072,135 leaves 8,553,465, which gives the deficient classification.

Resources

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Prime Factor Structure

Factorization String 3^3 × 5 × 17 × 59 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,625,600
Proper Divisor Sum 8,553,465
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9072127 ← → #9072191

Radix Representation

Decimal 9072135
Binary 100010100110111000000111 (24 bits)
Octal 0o42467007
Hexadecimal 0x8A6E07

Divisor Catalog (5 of 64)

1 3 5 9 15

Collatz Trajectory (256 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.

9,072,135 27,216,406 13,608,203 40,824,610 20,412,305

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