λ
Integer Codex

7,288,144

24 × 173 × 2633
Deficient Even Composite

For 7,288,144, the 20 positive divisors have a total of 14,207,796. Removing 7,288,144 leaves 6,919,652, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 173 × 2633
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,207,796
Proper Divisor Sum 6,919,652
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7288129 ← → #7288157

Radix Representation

Decimal 7288144
Binary 11011110011010101010000 (23 bits)
Octal 0o33632520
Hexadecimal 0x6F3550

Divisor Catalog (20)

Collatz Trajectory (160 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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